-
1
-
-
33751347915
-
Hyperbolic dynamical systems
-
Hasselblatt B., and Katok A. (Eds), Elsevier, Amsterdam
-
Hasselblatt B. Hyperbolic dynamical systems. In: Hasselblatt B., and Katok A. (Eds). Handbook of Dynamical Systems Vol. 1A (2002), Elsevier, Amsterdam 239-319
-
(2002)
Handbook of Dynamical Systems
, vol.1 A
, pp. 239-319
-
-
Hasselblatt, B.1
-
2
-
-
9344247607
-
Principle structures
-
Hasselblatt B., and Katok A. (Eds), Elsevier, Amsterdam
-
Katok A., and Hasselblatt B. Principle structures. In: Hasselblatt B., and Katok A. (Eds). Handbook of Dynamical Systems Vol. 1A (2002), Elsevier, Amsterdam 1-203
-
(2002)
Handbook of Dynamical Systems
, vol.1 A
, pp. 1-203
-
-
Katok, A.1
Hasselblatt, B.2
-
3
-
-
67649354433
-
Periodic orbits and zeta functions
-
Hasselblatt B., and Katok A. (Eds), Elsevier, Amsterdam
-
Pollicott M. Periodic orbits and zeta functions. In: Hasselblatt B., and Katok A. (Eds). Handbook of Dynamical Systems Vol. 1A (2002), Elsevier, Amsterdam 409-453
-
(2002)
Handbook of Dynamical Systems
, vol.1 A
, pp. 409-453
-
-
Pollicott, M.1
-
4
-
-
0002564801
-
Geodesic flows on closed Riemannian manifolds with negative curvature
-
Anosov D.V. Geodesic flows on closed Riemannian manifolds with negative curvature. Proc. Steklov. Inst. Math. 90 (1967)
-
(1967)
Proc. Steklov. Inst. Math.
, vol.90
-
-
Anosov, D.V.1
-
5
-
-
0001123306
-
Nonpositively curved manifolds of higher rank
-
Ballmann W. Nonpositively curved manifolds of higher rank. Annals of Math. 122 (1985) 597-609
-
(1985)
Annals of Math.
, vol.122
, pp. 597-609
-
-
Ballmann, W.1
-
6
-
-
0003223423
-
Lectures on Spaces of Nonpositive Curvature
-
Ballmann W. Lectures on Spaces of Nonpositive Curvature. DMV Seminar Band 25 (1995)
-
(1995)
DMV Seminar
, vol.Band 25
-
-
Ballmann, W.1
-
7
-
-
0000632933
-
Structure of manifolds of nonpositive curvature
-
Ballmann W., Brin M., and Eberlein P. Structure of manifolds of nonpositive curvature. Annals of Math. 122 (1985) 171-203
-
(1985)
Annals of Math.
, vol.122
, pp. 171-203
-
-
Ballmann, W.1
Brin, M.2
Eberlein, P.3
-
9
-
-
0002068964
-
Flots d'Anosov à distributions stable et instable dijférentiables
-
Benoist Y., Foulon P., and Labourie F. Flots d'Anosov à distributions stable et instable dijférentiables. J. Amer. Math. Soc. 5 (1992) 33-74
-
(1992)
J. Amer. Math. Soc.
, vol.5
, pp. 33-74
-
-
Benoist, Y.1
Foulon, P.2
Labourie, F.3
-
10
-
-
0000168310
-
Entropies et rigidités des espaces localement symétriques de courbure strictement négative
-
Besson G., Courtois G., and Gallot S. Entropies et rigidités des espaces localement symétriques de courbure strictement négative. GAFA 5 (1995) 731-799
-
(1995)
GAFA
, vol.5
, pp. 731-799
-
-
Besson, G.1
Courtois, G.2
Gallot, S.3
-
12
-
-
0011912447
-
Entropy-expansive maps
-
Bowen R. Entropy-expansive maps. Trans. Amer. Math. Soc. 164 (1972) 321-331
-
(1972)
Trans. Amer. Math. Soc.
, vol.164
, pp. 321-331
-
-
Bowen, R.1
-
13
-
-
0002729084
-
Periodic orbits for hyperbolic flows
-
Bowen R. Periodic orbits for hyperbolic flows. Amer. J. Math. 94 (1972) 1-30
-
(1972)
Amer. J. Math.
, vol.94
, pp. 1-30
-
-
Bowen, R.1
-
14
-
-
0040011089
-
Maximizing entropy for a hyperbolic flow
-
Bowen R. Maximizing entropy for a hyperbolic flow. Math. Systems Theory 7 (1973) 300-303
-
(1973)
Math. Systems Theory
, vol.7
, pp. 300-303
-
-
Bowen, R.1
-
15
-
-
0001902704
-
Unique ergodicity for horocycle foliations
-
Bowen R., and Marcus B. Unique ergodicity for horocycle foliations. Israel J. Math. 36 (1977) 43-67
-
(1977)
Israel J. Math.
, vol.36
, pp. 43-67
-
-
Bowen, R.1
Marcus, B.2
-
17
-
-
67649370283
-
-
Private communication
-
K. Burns, Private communication.
-
-
-
Burns, K.1
-
19
-
-
51249174959
-
Manifolds of nonpositive curvature and their buildings
-
Burns K., and Spatzier R. Manifolds of nonpositive curvature and their buildings. IHES 65 (1987) 35-59
-
(1987)
IHES
, vol.65
, pp. 35-59
-
-
Burns, K.1
Spatzier, R.2
-
20
-
-
84963057263
-
Intersection, the Manhattan curve, and Patterson-Sullivan theory in rank 2
-
Burger M. Intersection, the Manhattan curve, and Patterson-Sullivan theory in rank 2. Int. Math. Res. Notices 7 (1993) 217-225
-
(1993)
Int. Math. Res. Notices
, vol.7
, pp. 217-225
-
-
Burger, M.1
-
22
-
-
51249163743
-
Regularity of topological and metric entropy of hyperbolic flows
-
Contreras G. Regularity of topological and metric entropy of hyperbolic flows. Math. Z. 201 (1992) 97-112
-
(1992)
Math. Z.
, vol.201
, pp. 97-112
-
-
Contreras, G.1
-
23
-
-
51249175631
-
Rigidity for surfaces of non-positive curvature
-
Croke C.B. Rigidity for surfaces of non-positive curvature. Comment. Math. Helv. 65 (1990) 150-169
-
(1990)
Comment. Math. Helv.
, vol.65
, pp. 150-169
-
-
Croke, C.B.1
-
24
-
-
0000728873
-
The marked length-spectrum of a surface of nonpositive curvature
-
Croke C.B., Fathi A., and Feldman J. The marked length-spectrum of a surface of nonpositive curvature. Topology 31 4 (1992) 847-855
-
(1992)
Topology
, vol.31
, Issue.4
, pp. 847-855
-
-
Croke, C.B.1
Fathi, A.2
Feldman, J.3
-
25
-
-
67649355668
-
Spectral rigidity of a compact negatively curved manifold
-
Preprint
-
C. Croke and V. Sharafutdinov, Spectral rigidity of a compact negatively curved manifold, Preprint.
-
-
-
Croke, C.1
Sharafutdinov, V.2
-
27
-
-
67649301807
-
-
P. Eberlein, Geometry of Nonpositively Curved Manifolds, Chicago Lecture Notes in Math
-
P. Eberlein, Geometry of Nonpositively Curved Manifolds, Chicago Lecture Notes in Math.
-
-
-
-
29
-
-
84968484221
-
Negatively curved manifolds with exotic smooth structures
-
Farrell F., and Jones L. Negatively curved manifolds with exotic smooth structures. J. Amer. Math. Soc. 2 (1989) 899-908
-
(1989)
J. Amer. Math. Soc.
, vol.2
, pp. 899-908
-
-
Farrell, F.1
Jones, L.2
-
30
-
-
84968487211
-
A topological analogue of Mostov's rigidity theorem
-
Farrell F., and Jones L. A topological analogue of Mostov's rigidity theorem. J. Amer. Math. Soc. 2 (1989) 257-370
-
(1989)
J. Amer. Math. Soc.
, vol.2
, pp. 257-370
-
-
Farrell, F.1
Jones, L.2
-
31
-
-
67649325694
-
-
Private communication
-
A. Fathi, Private communication.
-
-
-
Fathi, A.1
-
32
-
-
0002304365
-
Travaux de Thurston sur les surfaces
-
Soc. Math. France, Paris
-
Fathi A., Laudenbach F., and Poénaru V. Travaux de Thurston sur les surfaces. Astérisque Vol. 66/67 (1979), Soc. Math. France, Paris
-
(1979)
Astérisque
, vol.66-67
-
-
Fathi, A.1
Laudenbach, F.2
Poénaru, V.3
-
33
-
-
84971945662
-
Geodesic flows on manifolds of negative curvature with smooth horospheric foliations
-
Feres R. Geodesic flows on manifolds of negative curvature with smooth horospheric foliations. Ergodic Theory Dynamical Systems 11 (1991) 653-686
-
(1991)
Ergodic Theory Dynamical Systems
, vol.11
, pp. 653-686
-
-
Feres, R.1
-
34
-
-
84974433613
-
Invariant tensor fields of dynamical systems with pinched Lyapunov exponents and rigidity of geodesic flows
-
Feres R., and Katok A. Invariant tensor fields of dynamical systems with pinched Lyapunov exponents and rigidity of geodesic flows. Ergodic Theory Dynamical Systems 8 (1989) 427-4432
-
(1989)
Ergodic Theory Dynamical Systems
, vol.8
, pp. 427-4432
-
-
Feres, R.1
Katok, A.2
-
35
-
-
0010534475
-
Sur les variétés compactes asymptotiquement harmoniques
-
Foulon P., and Labourie F. Sur les variétés compactes asymptotiquement harmoniques. Invent. Math. 109 (1992) 97-111
-
(1992)
Invent. Math.
, vol.109
, pp. 97-111
-
-
Foulon, P.1
Labourie, F.2
-
36
-
-
0001406958
-
On the entropy of the geodesic flow in manifolds without conjugate points
-
Freire A., and Mañé R. On the entropy of the geodesic flow in manifolds without conjugate points. Invent. Math. 69 (1982) 375-392
-
(1982)
Invent. Math.
, vol.69
, pp. 375-392
-
-
Freire, A.1
Mañé, R.2
-
37
-
-
0001654823
-
Flots d'Anosov dont les feuilletages stables sont différentiables
-
Ghys E. Flots d'Anosov dont les feuilletages stables sont différentiables. Ann. Sci. École Norm. Sup. 20 (1987) 251-270
-
(1987)
Ann. Sci. École Norm. Sup.
, vol.20
, pp. 251-270
-
-
Ghys, E.1
-
38
-
-
84972567571
-
The generalized geodesic flow
-
Green L. The generalized geodesic flow. Duke Math. J. 41 (1974) 115-126
-
(1974)
Duke Math. J.
, vol.41
, pp. 115-126
-
-
Green, L.1
-
40
-
-
0013172827
-
Three remarks on geodesic dynamics and fundamental group
-
Preprint
-
M. Gromov, Three remarks on geodesic dynamics and fundamental group, Preprint.
-
-
-
Gromov, M.1
-
41
-
-
84956267209
-
Filling Riemannian manifolds
-
Gromov M. Filling Riemannian manifolds. J. Differential Geom. 18 (1983) 1-147
-
(1983)
J. Differential Geom.
, vol.18
, pp. 1-147
-
-
Gromov, M.1
-
42
-
-
0003195390
-
Hyperbolic groups. Essays in Group Theory
-
Gromov M. Hyperbolic groups. Essays in Group Theory. Math. Sci. Res. Inst. Publ. Springer Vol. 8 (1987) 75-263
-
(1987)
Math. Sci. Res. Inst. Publ. Springer
, vol.8
, pp. 75-263
-
-
Gromov, M.1
-
43
-
-
0002065433
-
Rigid transformation groups
-
Bernard D., and Choquet-Bruhat Y. (Eds), Hermann
-
Gromov M. Rigid transformation groups. In: Bernard D., and Choquet-Bruhat Y. (Eds). Géométrie Différentielle, Travaux en Cours Vol. 33 (1988), Hermann 65-139
-
(1988)
Géométrie Différentielle, Travaux en Cours
, vol.33
, pp. 65-139
-
-
Gromov, M.1
-
44
-
-
0000125310
-
Some inverse spectral results for negatively curved n-manifolds
-
Guillemin V., and Kazhdan D. Some inverse spectral results for negatively curved n-manifolds. Proc. of Symposia of Pure Math. Vol. 36 (1980) 153-180
-
(1980)
Proc. of Symposia of Pure Math.
, vol.36
, pp. 153-180
-
-
Guillemin, V.1
Kazhdan, D.2
-
45
-
-
0001232465
-
Some inverse spectral results for negatively curved 2-manifolds
-
Guillemin V., and Kazhdan D. Some inverse spectral results for negatively curved 2-manifolds. Topology 19 (1980) 301-312
-
(1980)
Topology
, vol.19
, pp. 301-312
-
-
Guillemin, V.1
Kazhdan, D.2
-
46
-
-
0040871485
-
Time preserving conjugacies of geodesic flows
-
Hamenstädt U. Time preserving conjugacies of geodesic flows. Ergodic Theory Dynamical Systems 12 (1992) 67-74
-
(1992)
Ergodic Theory Dynamical Systems
, vol.12
, pp. 67-74
-
-
Hamenstädt, U.1
-
47
-
-
0010966953
-
Invariant two-forms for geodesic flows
-
Hamenstädt U. Invariant two-forms for geodesic flows. Math. Ann. 301 (1995) 677-698
-
(1995)
Math. Ann.
, vol.301
, pp. 677-698
-
-
Hamenstädt, U.1
-
49
-
-
84972541932
-
Smoothness of horocycle foliations
-
Hirsch M., and Pugh C. Smoothness of horocycle foliations. J. Differential Geom. 10 (1975) 225-238
-
(1975)
J. Differential Geom.
, vol.10
, pp. 225-238
-
-
Hirsch, M.1
Pugh, C.2
-
51
-
-
0000683114
-
Statistik der geodätischen Linien in Mannigfaltigkeiten negativer Krümmung
-
Hopf E. Statistik der geodätischen Linien in Mannigfaltigkeiten negativer Krümmung. Ber. Verh. Sachs. Akad. Wiss. Leipzig Vol. 91 (1939) 261-304
-
(1939)
Ber. Verh. Sachs. Akad. Wiss. Leipzig
, vol.91
, pp. 261-304
-
-
Hopf, E.1
-
52
-
-
51249176245
-
Differentiability, rigidity and Godbillon-Vey classes for Anosov flows
-
Hurder S., and Katok A. Differentiability, rigidity and Godbillon-Vey classes for Anosov flows. Publ. Math. IHES 72 (1990) 5-61
-
(1990)
Publ. Math. IHES
, vol.72
, pp. 5-61
-
-
Hurder, S.1
Katok, A.2
-
54
-
-
0037788364
-
Nonpositive Curvature: Geometric and Analytics Aspects
-
Birkhäuser, ETH Zürich
-
Jost J. Nonpositive Curvature: Geometric and Analytics Aspects. Lectures in Mathematics (1997), Birkhäuser, ETH Zürich
-
(1997)
Lectures in Mathematics
-
-
Jost, J.1
-
55
-
-
84974277573
-
Geodesic flows on negatively curved manifolds with smooth stable and unstable foliations
-
Kanai M. Geodesic flows on negatively curved manifolds with smooth stable and unstable foliations. Ergodic Theory Dynamical Systems 8 (1988) 215-239
-
(1988)
Ergodic Theory Dynamical Systems
, vol.8
, pp. 215-239
-
-
Kanai, M.1
-
58
-
-
0001882824
-
Differentiability and analyticity of topological entropy for Anosov and geodesic flows
-
Katok A., Knieper G., Pollicott M., and Weiss H. Differentiability and analyticity of topological entropy for Anosov and geodesic flows. Invent. Math. 98 (1989) 581-597
-
(1989)
Invent. Math.
, vol.98
, pp. 581-597
-
-
Katok, A.1
Knieper, G.2
Pollicott, M.3
Weiss, H.4
-
59
-
-
0001812718
-
Formulas for the derivative and critical points of topological entropy for Anosov and geodesic flows
-
Katok A., Knieper G., and Weiss H. Formulas for the derivative and critical points of topological entropy for Anosov and geodesic flows. Comm. Math. Phys. 138 (1991) 19-31
-
(1991)
Comm. Math. Phys.
, vol.138
, pp. 19-31
-
-
Katok, A.1
Knieper, G.2
Weiss, H.3
-
60
-
-
0013520635
-
Riemannian manifolds with geodesic flow of Anosov type
-
Klingenberg W. Riemannian manifolds with geodesic flow of Anosov type. Ann. of Math. 99 (1974) 1-13
-
(1974)
Ann. of Math.
, vol.99
, pp. 1-13
-
-
Klingenberg, W.1
-
62
-
-
0001064108
-
Das Wachstum der Äquivalenzklassen geschlossener Geodätischer in kompakten Riemannschen Mannigfaltigkeiten
-
Knieper G. Das Wachstum der Äquivalenzklassen geschlossener Geodätischer in kompakten Riemannschen Mannigfaltigkeiten. Arch. Math. 40 (1983) 559-568
-
(1983)
Arch. Math.
, vol.40
, pp. 559-568
-
-
Knieper, G.1
-
63
-
-
0010716481
-
Spherical means on compact Riemannian manifolds of negative curvature
-
Knieper G. Spherical means on compact Riemannian manifolds of negative curvature. Differential Geom. Appl. 4 (1994) 361-390
-
(1994)
Differential Geom. Appl.
, vol.4
, pp. 361-390
-
-
Knieper, G.1
-
64
-
-
0002354343
-
Volume growth, entropy and the geodesic stretch
-
Knieper G. Volume growth, entropy and the geodesic stretch. Math. Res. Lett. 2 (1995) 1-20
-
(1995)
Math. Res. Lett.
, vol.2
, pp. 1-20
-
-
Knieper, G.1
-
65
-
-
0031285548
-
On the asymptotic geometry of nonpositively curved manifolds
-
Knieper G. On the asymptotic geometry of nonpositively curved manifolds. GAFA 7 (1997) 755-782
-
(1997)
GAFA
, vol.7
, pp. 755-782
-
-
Knieper, G.1
-
66
-
-
0032327527
-
The uniqueness of the measure of maximal entropy for geodesic flows on rank I manifolds
-
Knieper G. The uniqueness of the measure of maximal entropy for geodesic flows on rank I manifolds. Ann. of Math. 148 (1998) 291-314
-
(1998)
Ann. of Math.
, vol.148
, pp. 291-314
-
-
Knieper, G.1
-
67
-
-
51249174128
-
Harmonic measure and Bowen-Margulis measures
-
Ledrappier F. Harmonic measure and Bowen-Margulis measures. Israel J. Math. 71 (1990) 275-287
-
(1990)
Israel J. Math.
, vol.71
, pp. 275-287
-
-
Ledrappier, F.1
-
68
-
-
0000694245
-
Some homological properties of U-systems
-
Livšic A.N. Some homological properties of U-systems. Mat. Zametki 10 (1971) 555-564
-
(1971)
Mat. Zametki
, vol.10
, pp. 555-564
-
-
Livšic, A.N.1
-
69
-
-
0000174457
-
Canonical perturbation theory of Anosov systems and regularity results for the Livšic cohomology equation
-
de la Llave R. Canonical perturbation theory of Anosov systems and regularity results for the Livšic cohomology equation. Ann. of Math. 123 (1986) 537-611
-
(1986)
Ann. of Math.
, vol.123
, pp. 537-611
-
-
de la Llave, R.1
-
70
-
-
0000719919
-
On a theorem of Klingenberg, Dynamical Systems and Bifurcation Theory
-
Camacho M., Pacifico M., and Takens F. (Eds)
-
Mañé R. On a theorem of Klingenberg, Dynamical Systems and Bifurcation Theory. In: Camacho M., Pacifico M., and Takens F. (Eds). Pitman Research Notes in Math. Vol. 160 (1987) 319-345
-
(1987)
Pitman Research Notes in Math.
, vol.160
, pp. 319-345
-
-
Mañé, R.1
-
71
-
-
0001472050
-
Topological entropy for geodesic flows
-
Manning A. Topological entropy for geodesic flows. Ann. of Math. 110 (1979) 567-573
-
(1979)
Ann. of Math.
, vol.110
, pp. 567-573
-
-
Manning, A.1
-
72
-
-
0002061809
-
Certain measures associated with U-flows on compact manifolds
-
Margulis G.A. Certain measures associated with U-flows on compact manifolds. Funct. Anal. Appl. 4 (1970) 55-67
-
(1970)
Funct. Anal. Appl.
, vol.4
, pp. 55-67
-
-
Margulis, G.A.1
-
73
-
-
33646837301
-
Spectral rigidity for manifolds with negative curvature operator
-
Min-Oo M. Spectral rigidity for manifolds with negative curvature operator. Contemp. Math. 51 (1986) 99-103
-
(1986)
Contemp. Math.
, vol.51
, pp. 99-103
-
-
Min-Oo, M.1
-
74
-
-
0001788461
-
A fundamental class of geodesics on any closed surface of genus greater than one
-
Morse M. A fundamental class of geodesics on any closed surface of genus greater than one. Trans. Amer. Math. Soc. 26 (1924) 25-60
-
(1924)
Trans. Amer. Math. Soc.
, vol.26
, pp. 25-60
-
-
Morse, M.1
-
75
-
-
0000567068
-
Le spectre marqué des surfaces à courbure négative
-
Otal J.-P. Le spectre marqué des surfaces à courbure négative. Ann. of Math. (2) 131 (1990) 151-162
-
(1990)
Ann. of Math. (2)
, vol.131
, pp. 151-162
-
-
Otal, J.-P.1
-
77
-
-
0000131067
-
The limit set of Fuchsian group
-
Patterson S. The limit set of Fuchsian group. Acta Math. 136 (1976) 241-273
-
(1976)
Acta Math.
, vol.136
, pp. 241-273
-
-
Patterson, S.1
-
78
-
-
84961291543
-
Characteristic Lyapunov exponents and smooth ergodic theory
-
Pesin Ya. Characteristic Lyapunov exponents and smooth ergodic theory. Russian Math. Surv. 32 (1977) 54-114
-
(1977)
Russian Math. Surv.
, vol.32
, pp. 54-114
-
-
Pesin, Ya.1
-
79
-
-
51249179988
-
An inequality for the entropy of differentiable maps
-
Ruelle D. An inequality for the entropy of differentiable maps. Bol. Soc. Bras. Mat. 9 (1978) 83-87
-
(1978)
Bol. Soc. Bras. Mat.
, vol.9
, pp. 83-87
-
-
Ruelle, D.1
-
82
-
-
51249182653
-
The density at infinity of a discrete group of hyperbolic motions
-
Sullivan D. The density at infinity of a discrete group of hyperbolic motions. Inst. Hautes Études Sci. Publ. Math. 50 (1979) 171-202
-
(1979)
Inst. Hautes Études Sci. Publ. Math.
, vol.50
, pp. 171-202
-
-
Sullivan, D.1
-
83
-
-
0003904893
-
An Introduction to Ergodic Theory
-
Springer-Verlag, Berlin
-
Walters P. An Introduction to Ergodic Theory. Graduate Texts in Mathematics (1982), Springer-Verlag, Berlin
-
(1982)
Graduate Texts in Mathematics
-
-
Walters, P.1
|