-
1
-
-
0012945207
-
-
Crofton densities, symplectic geometry and Hilbert's fourth problem, The Arnold-Gelfand Mathematical Seminar, Birkhauser
-
[1] J. Alvarez, I. Gelfand, M. Smirnov, Crofton densities, symplectic geometry and Hilbert's fourth problem, The Arnold-Gelfand Mathematical Seminar, Birkhauser, 1997, pp. 77–92.
-
(1997)
, pp. 77-92
-
-
Alvarez, J.1
Gelfand, I.2
Smirnov, M.3
-
2
-
-
85018293423
-
-
An introduction to Finsler geometry, Notas de la Escuela Venezolana de Matématicas
-
[2] J.C. Alvarez, C. Duran, An introduction to Finsler geometry, Notas de la Escuela Venezolana de Matématicas, 1998.
-
(1998)
-
-
Alvarez, J.C.1
Duran, C.2
-
3
-
-
85018279823
-
-
Some problems on Finsler geometry, Preprint.
-
[3] J.C. Alvarez, Some problems on Finsler geometry, Preprint.
-
-
-
Alvarez, J.C.1
-
4
-
-
85018314436
-
-
Dual spheres have the same girth, Preprint.
-
[4] J.C. Alvarez, Dual spheres have the same girth, Preprint.
-
-
-
Alvarez, J.C.1
-
5
-
-
85018245546
-
-
Finsler Metrics — A Global Approach, Lecture Notes in Mathematics, Vol. 1591, Springer, Berlin
-
[5] M. Abate, G. Patrizio, Finsler Metrics — A Global Approach, Lecture Notes in Mathematics, Vol. 1591, Springer, Berlin, 1994.
-
(1994)
-
-
Abate, M.1
Patrizio, G.2
-
6
-
-
85018362725
-
-
Symplectic Geometry, Encyclopedia of Mathematical Science, Dynamical Systems, Vol. 4, Springer, Berlin
-
[6] V. Arnold, A. Givental, Symplectic Geometry, Encyclopedia of Mathematical Science, Dynamical Systems, Vol. 4, Springer, Berlin, 1990, pp. 1–136.
-
(1990)
, pp. 1-136
-
-
Arnold, V.1
Givental, A.2
-
7
-
-
85018290457
-
-
Mathematical Methods of Classical Mechanics, Springer, Berlin
-
[7] V. Arnold, Mathematical Methods of Classical Mechanics, Springer, Berlin, 1989.
-
(1989)
-
-
Arnold, V.1
-
8
-
-
85018323289
-
-
An Introduction to Riemann–Finsler Geometry, Springer, Berlin
-
[8] D. Bao, S.-S. Chern, Z. Shen, An Introduction to Riemann–Finsler Geometry, Springer, Berlin, 2000.
-
(2000)
-
-
Bao, D.1
Chern, S.-S.2
Shen, Z.3
-
9
-
-
0009141622
-
Seules les quadriques admettent des caustiques
-
[9] Berger, M., Seules les quadriques admettent des caustiques. Bull. Soc. Math. France 123 (1995), 107–116.
-
(1995)
Bull. Soc. Math. France
, vol.123
, pp. 107-116
-
-
Berger, M.1
-
10
-
-
34250588943
-
Surface transformations and their dynamical applications
-
[10] Birkhoff, G.D., Surface transformations and their dynamical applications. Acta Math. 43 (1922), 1–119.
-
(1922)
Acta Math.
, vol.43
, pp. 1-119
-
-
Birkhoff, G.D.1
-
11
-
-
0000949990
-
Sur quelques courbes fermeés remarquables
-
[11] Birkhoff, G.D., Sur quelques courbes fermeés remarquables. Bull. Soc. Math. France 60 (1932), 1–26.
-
(1932)
Bull. Soc. Math. France
, vol.60
, pp. 1-26
-
-
Birkhoff, G.D.1
-
12
-
-
85018357335
-
-
The Geometry of Geodesics, Pure and Applied Mathematics, Vol. 6, Academic Press, New York
-
[12] H. Busemann, The Geometry of Geodesics, Pure and Applied Mathematics, Vol. 6, Academic Press, New York, 1955.
-
(1955)
-
-
Busemann, H.1
-
13
-
-
0000967281
-
Finsler geometry is just Riemannian geometry without the quadratic restriction
-
[13] Chern, S.S., Finsler geometry is just Riemannian geometry without the quadratic restriction. Notices Am. Math. Soc. 43 (1996), 959–963.
-
(1996)
Notices Am. Math. Soc.
, vol.43
, pp. 959-963
-
-
Chern, S.S.1
-
14
-
-
85018299032
-
-
Ergodic Theory, Springer, Berlin
-
[14] I. Cornfeld, S. Fomin, Ya. Sinai, Ergodic Theory, Springer, Berlin, 1982.
-
(1982)
-
-
Cornfeld, I.1
Fomin, S.2
Sinai, Y.3
-
15
-
-
85018308185
-
-
Geometry Revisited, Mathematical Association of America, Toronto
-
[15] H.S.M. Coxeter, S.L. Greitzer, Geometry Revisited, Mathematical Association of America, Toronto, 1967.
-
(1967)
-
-
Coxeter, H.S.M.1
Greitzer, S.L.2
-
16
-
-
0000012081
-
Estimation de l'entropie des systèmes lagrangiens sans points conjugués, with an appendix “About Finsler geometry”
-
[16] Foulon, P., Estimation de l'entropie des systèmes lagrangiens sans points conjugués, with an appendix “About Finsler geometry”. Ann. Inst. H. Poincaré Phys. Théoret. 57 (1992), 117–146.
-
(1992)
Ann. Inst. H. Poincaré Phys. Théoret.
, vol.57
, pp. 117-146
-
-
Foulon, P.1
-
17
-
-
0031138606
-
Local symmetric Finsler spaces in negative curvature
-
[17] Foulon, P., Local symmetric Finsler spaces in negative curvature. C.R. Acad. Sci., Paris Sér. I 324 (1997), 1127–1132.
-
(1997)
C.R. Acad. Sci., Paris Sér. I
, vol.324
, pp. 1127-1132
-
-
Foulon, P.1
-
18
-
-
0030541868
-
Billiards in polygons: survey of recent results
-
[18] Gutkin, E., Billiards in polygons: survey of recent results. J. Stat. Phys. 83 (1996), 7–26.
-
(1996)
J. Stat. Phys.
, vol.83
, pp. 7-26
-
-
Gutkin, E.1
-
19
-
-
0031508438
-
Two applications of calculus to triangular billiards
-
[19] Gutkin, E., Two applications of calculus to triangular billiards. Am. Math. Monthly 104 (1997), 618–623.
-
(1997)
Am. Math. Monthly
, vol.104
, pp. 618-623
-
-
Gutkin, E.1
-
20
-
-
21844483677
-
Caustics for inner and outer billiards
-
[20] Gutkin, E., Katok, A., Caustics for inner and outer billiards. Commun. Math. Phys. 173 (1995), 101–133.
-
(1995)
Commun. Math. Phys.
, vol.173
, pp. 101-133
-
-
Gutkin, E.1
Katok, A.2
-
21
-
-
85018332838
-
-
Directional flows and strong recurrence for polygonal billiards, Pitman Research Notes in Mathematics Series, Vol. 362
-
[21] E. Gutkin, S. Troubetzkoy, Directional flows and strong recurrence for polygonal billiards, Pitman Research Notes in Mathematics Series, Vol. 362, 1997, pp. 21–45.
-
(1997)
, pp. 21-45
-
-
Gutkin, E.1
Troubetzkoy, S.2
-
22
-
-
85018277471
-
-
Sur les curbes invariantes par les difféomorphismes de l'anneau, Astérisque
-
[22] M. Herman, Sur les curbes invariantes par les difféomorphismes de l'anneau, Astérisque, 1983, pp. 103–104.
-
(1983)
, pp. 103-104
-
-
Herman, M.1
-
23
-
-
84974073856
-
On the topological properties of symplectic maps
-
[23] Hofer, H., On the topological properties of symplectic maps. Proc. Roy. Soc. Edinburgh A 115 (1990), 25–38.
-
(1990)
Proc. Roy. Soc. Edinburgh A
, vol.115
, pp. 25-38
-
-
Hofer, H.1
-
24
-
-
85018353402
-
-
Introduction to the Modern Theory of Dynamical Systems, Cambridge University Press, Cambridge
-
[24] A. Katok, B. Hasselblatt, Introduction to the Modern Theory of Dynamical Systems, Cambridge University Press, Cambridge, 1995.
-
(1995)
-
-
Katok, A.1
Hasselblatt, B.2
-
25
-
-
85018252648
-
-
Billiards. A genetic introduction to the dynamics of systems with impacts. Transl. Math. Monogr., Vol. 98, American Mathematical Society
-
[25] V. Kozlov, D. Treshchev, Billiards. A genetic introduction to the dynamics of systems with impacts. Transl. Math. Monogr., Vol. 98, American Mathematical Society, 1991.
-
(1991)
-
-
Kozlov, V.1
Treshchev, D.2
-
26
-
-
77955490495
-
The Teichmuller flow is Hamiltonian
-
[26] Masur, H., The Teichmuller flow is Hamiltonian. Proc. Am. Math. Soc. 123 (1995), 3739–3747.
-
(1995)
Proc. Am. Math. Soc.
, vol.123
, pp. 3739-3747
-
-
Masur, H.1
-
27
-
-
85018276773
-
-
Billiards in Polygons and Teichmuller Theory. Handbook on Dynamical Systems, in press.
-
[27] H. Masur, S. Tabachnikov, Billiards in Polygons and Teichmuller Theory. Handbook on Dynamical Systems, in press.
-
-
-
Masur, H.1
Tabachnikov, S.2
-
29
-
-
85018366817
-
-
Introduction to Symplectic Topology, Clarendon Press, Oxford
-
[29] D. McDuff, D. Salamon, Introduction to Symplectic Topology, Clarendon Press, Oxford, 1995.
-
(1995)
-
-
McDuff, D.1
Salamon, D.2
-
30
-
-
0000426182
-
Equivalence of glancing hypersurfaces
-
[30] Melrose, R., Equivalence of glancing hypersurfaces. Invent. Math. 37 (1976), 165–192.
-
(1976)
Invent. Math.
, vol.37
, pp. 165-192
-
-
Melrose, R.1
-
31
-
-
0002505389
-
Equivalence of glancing hypersurfaces
-
[31] Melrose, R., Equivalence of glancing hypersurfaces. Math. Ann. 255 (1981), 159–198.
-
(1981)
Math. Ann.
, vol.255
, pp. 159-198
-
-
Melrose, R.1
-
32
-
-
20444434796
-
A generalization of Chekanov's theorem. Diameters of immersed manifolds and wave fronts
-
[32] Pushkar’, P., A generalization of Chekanov's theorem. Diameters of immersed manifolds and wave fronts. Steklov Inst. Proc. 221 (1998), 289–304.
-
(1998)
Steklov Inst. Proc.
, vol.221
, pp. 289-304
-
-
Pushkar, P.1
-
33
-
-
0031625541
-
Diameters of immersed manifolds and wave fronts
-
[33] Pushkar’, P., Diameters of immersed manifolds and wave fronts. C.R. Acad. Sci. 326 (1998), 201–205.
-
(1998)
C.R. Acad. Sci.
, vol.326
, pp. 201-205
-
-
Pushkar, P.1
-
34
-
-
85018353000
-
-
The Differential Geometry of Finsler Spaces, Springer, Berlin
-
[34] H. Rund, The Differential Geometry of Finsler Spaces, Springer, Berlin, 1959.
-
(1959)
-
-
Rund, H.1
-
35
-
-
85018261881
-
-
Integral Geometry and Geometric Probability, Addison-Wesley, Reading, MA
-
[35] L. Santalo, Integral Geometry and Geometric Probability, Addison-Wesley, Reading, MA, 1976.
-
(1976)
-
-
Santalo, L.1
-
36
-
-
85018360672
-
-
Billiards, SMF “Panoramas et Syntheses”, No. 1
-
[36] S. Tabachnikov, Billiards, SMF “Panoramas et Syntheses”, No. 1, 1995.
-
(1995)
-
-
Tabachnikov, S.1
-
37
-
-
0002060723
-
Parameterized curves, Minkowski caustics, Minkowski vertices and conservative line fields
-
[37] Tabachnikov, S., Parameterized curves, Minkowski caustics, Minkowski vertices and conservative line fields. L'Enseign. Math. 43 (1997), 3–26.
-
(1997)
L'Enseign. Math.
, vol.43
, pp. 3-26
-
-
Tabachnikov, S.1
-
38
-
-
85018274912
-
-
Minkowski Geometry, Cambridge University Press, Cambridge
-
[38] A.C. Thompson, Minkowski Geometry, Cambridge University Press, Cambridge, 1996.
-
(1996)
-
-
Thompson, A.C.1
-
39
-
-
0002859047
-
Integrable systems with discrete time, and difference operators
-
[39] Veselov, A., Integrable systems with discrete time, and difference operators. Funct. Anal. Appl. 22 (1988), 83–93.
-
(1988)
Funct. Anal. Appl.
, vol.22
, pp. 83-93
-
-
Veselov, A.1
-
40
-
-
70350335480
-
Integrable mappings
-
[40] Veselov, A., Integrable mappings. Russ. Math. Surv. 46 (1991), 1–51.
-
(1991)
Russ. Math. Surv.
, vol.46
, pp. 1-51
-
-
Veselov, A.1
-
41
-
-
0001146926
-
Teichmuller geodesic flow
-
[41] Veech, W., Teichmuller geodesic flow. Ann. Math. 124 (1986), 441–530.
-
(1986)
Ann. Math.
, vol.124
, pp. 441-530
-
-
Veech, W.1
-
42
-
-
0000928980
-
Principles for the design of billiards with nonvanishing Lyapunov exponents
-
[42] Wojtkowski, M., Principles for the design of billiards with nonvanishing Lyapunov exponents. Commun. Math. Phys. 105 (1986), 391–414.
-
(1986)
Commun. Math. Phys.
, vol.105
, pp. 391-414
-
-
Wojtkowski, M.1
-
43
-
-
84972500800
-
Two applications of Jacobi fields to the billiard ball problem
-
[43] Wojtkowski, M., Two applications of Jacobi fields to the billiard ball problem. J. Diff. Geom. 40 (1994), 155–164.
-
(1994)
J. Diff. Geom.
, vol.40
, pp. 155-164
-
-
Wojtkowski, M.1
|