-
1
-
-
0038167369
-
Forte souplesse intersystolique de variétés fermées et de polyèdres
-
[Bab02]
-
[Bab02] Babenko, I.: Forte souplesse intersystolique de variétés fermées et de polyèdres. Annales de l'Institut Fourier 52 4 (2002), 1259-1284.
-
(2002)
Annales de l'Institut Fourier
, vol.52
, Issue.4
, pp. 1259-1284
-
-
Babenko, I.1
-
3
-
-
0032219338
-
Volumes, middle-dimensional systoles, and whitehead products
-
[BKS98]
-
[BKS98] Babenko, I.; Katz, M.; Suciu, A.: Volumes, middle-dimensional systoles, and Whitehead products. Math. Res. Lett. 5 (1998), no. 4, 461-471.
-
(1998)
Math. Res. Lett.
, vol.5
, Issue.4
, pp. 461-471
-
-
Babenko, I.1
Katz, M.2
Suciu, A.3
-
4
-
-
85039506056
-
-
[BCIK1], preprint. arXiv:math.DG/0405583
-
[BCIK1] Bangert, V.; Croke, C.; Ivanov, S.; Katz, M.: Filling area conjecture and ovalless real hyperelliptic surfaces, preprint. arXiv:math.DG/0405583
-
Filling Area Conjecture and Ovalless Real Hyperelliptic Surfaces
-
-
Bangert, V.1
Croke, C.2
Ivanov, S.3
Katz, M.4
-
5
-
-
84871153942
-
-
[BCIK2], preprint. arXiv:math.DG/0406008
-
[BCIK2] Bangert, V.; Croke, C.; Ivanov, S.; Katz, M.: Boundary case of equality in optimal Loewner-type inequalities, preprint. arXiv:math.DG/0406008
-
Boundary Case of Equality in Optimal Loewner-type Inequalities
-
-
Bangert, V.1
Croke, C.2
Ivanov, S.3
Katz, M.4
-
6
-
-
2442463357
-
Stable systolic inequalities and cohomology products
-
[BK03]. math.DG/0204181
-
[BK03] Bangert, V.; Katz, M.: Stable systolic inequalities and cohomology products. Comm. Pure Appl. Math. 56 (2003), 979-997. math.DG/0204181
-
(2003)
Comm. Pure Appl. Math.
, vol.56
, pp. 979-997
-
-
Bangert, V.1
Katz, M.2
-
7
-
-
0041956024
-
Inégalité isosystolique pour la bouteille de Klein
-
[Bav86]
-
[Bav86] Bavard, C.: Inégalité isosystolique pour la bouteille de Klein, Math. Ann. 274 (1986), no. 3, 439-441.
-
(1986)
Math. Ann.
, vol.274
, Issue.3
, pp. 439-441
-
-
Bavard, C.1
-
8
-
-
38249022921
-
Sur un problème de dualité lié aux sphères en géométrie des nombres
-
[BM89]
-
[BM89] Bergé, A.-M.; Martinet, J.: Sur un problème de dualité lié aux sphères en géométrie des nombres. J. Number Theory 32, 14-42 (1989).
-
(1989)
J. Number Theory
, vol.32
, pp. 14-42
-
-
Bergé, A.-M.1
Martinet, J.2
-
9
-
-
0002282443
-
On the period matrix of a Riemann surface of large genus
-
[BS94]. With an appendix by J. H. Conway and N. J. A. Sloane
-
[BS94] Buser, P.; Sarnak, P.: On the period matrix of a Riemann surface of large genus. With an appendix by J. H. Conway and N. J. A. Sloane. Invent. Math. 117 (1994), no. 1, 27-56.
-
(1994)
Invent. Math.
, vol.117
, Issue.1
, pp. 27-56
-
-
Buser, P.1
Sarnak, P.2
-
10
-
-
0003333796
-
Riemannian geometry - A modern introduction
-
[Ch93]. Cambridge University Press, Cambridge
-
[Ch93] Chavel, I.: Riemannian geometry - a modern introduction. Cambridge Tracts in Mathematics, 108. Cambridge University Press, Cambridge, 1993.
-
(1993)
Cambridge Tracts in Mathematics
, vol.108
-
-
Chavel, I.1
-
11
-
-
0000759764
-
On lattices equivalent to their duals
-
[CS94]
-
[CS94] Conway, J. H.; Sloane, N. J. A.: On lattices equivalent to their duals. J. Number Theory 48 (1994), no. 3, 373-382.
-
(1994)
J. Number Theory
, vol.48
, Issue.3
, pp. 373-382
-
-
Conway, J.H.1
Sloane, N.J.A.2
-
12
-
-
0242349376
-
Universal volume bounds in Riemannian manifolds
-
[CK03] Lectures on Geometry and Topology held in honor of Calabi, Lawson, Siu, and Uhlenbeck at Harvard University, May 3- 5, 2002, edited by S.T. Yau (Somerville, MA: International Press). See arXiv:math.DG/0302248
-
[CK03] Croke, C.; Katz, M.: Universal volume bounds in Riemannian manifolds, Surveys in Differential Geometry VIII, Lectures on Geometry and Topology held in honor of Calabi, Lawson, Siu, and Uhlenbeck at Harvard University, May 3- 5, 2002, edited by S.T. Yau (Somerville, MA: International Press, 2003.) pp. 109 -137. See arXiv:math.DG/0302248
-
(2003)
Surveys in Differential Geometry
, vol.8
, pp. 109-137
-
-
Croke, C.1
Katz, M.2
-
13
-
-
0001675252
-
Harmonic mappings of riemannian manifolds
-
[ES64]
-
[ES64] Eells, J.; Sampson, J. H.: Harmonic mappings of Riemannian manifolds. Amer. J. Math. 86 (1964) 109-160.
-
(1964)
Amer. J. Math.
, vol.86
, pp. 109-160
-
-
Eells, J.1
Sampson, J.H.2
-
15
-
-
0000096917
-
Real flat chains, cochains, and variational problems
-
[Fe74]
-
[Fe74] Federer, H.: Real flat chains, cochains, and variational problems. Indiana Univ. Math. J. 24, 351-407 (1974).
-
(1974)
Indiana Univ. Math. J.
, vol.24
, pp. 351-407
-
-
Federer, H.1
-
16
-
-
0040892442
-
2-systolic-freedom
-
[Fr99] (Berkeley, CA)
-
2-systolic-freedom. Proceedings of the Kirbyfest (Berkeley, CA, 1998), 113-123. Geometry and Topology Monographs, 2. Geometry and Topology, Institute of Mathematics, Warwick University, Coventry 1999.
-
(1998)
Proceedings of the Kirbyfest
, pp. 113-123
-
-
Freedman, M.1
-
17
-
-
85039490637
-
-
Geometry and Topology, Institute of Mathematics, Warwick University, Coventry
-
2-systolic-freedom. Proceedings of the Kirbyfest (Berkeley, CA, 1998), 113-123. Geometry and Topology Monographs, 2. Geometry and Topology, Institute of Mathematics, Warwick University, Coventry 1999.
-
(1999)
Geometry and Topology Monographs
, vol.2
-
-
-
18
-
-
84956267209
-
Filling riemannian manifolds
-
[Gr83]
-
[Gr83] Gromov, M.: Filling Riemannian manifolds. J. Differential Geom. 18, 1-147 (1983).
-
(1983)
J. Differential Geom.
, vol.18
, pp. 1-147
-
-
Gromov, M.1
-
19
-
-
0001161747
-
Systoles and intersystolic inequalities
-
[Gr96] (Luminy)
-
[Gr96] Gromov, M.: Systoles and intersystolic inequalities. In: Actes de la Table Ronde de Géométrie Différentielle (Luminy 1992), 291-362. Séminaires et Congrès, 1. Soc. Math. France, Institut Henri Poincaré, Paris 1996.
-
(1992)
Actes de la Table Ronde de Géométrie Différentielle
, pp. 291-362
-
-
Gromov, M.1
-
20
-
-
85039502118
-
-
Soc. Math. France, Institut Henri Poincaré, Paris
-
[Gr96] Gromov, M.: Systoles and intersystolic inequalities. In: Actes de la Table Ronde de Géométrie Différentielle (Luminy 1992), 291-362. Séminaires et Congrès, 1. Soc. Math. France, Institut Henri Poincaré, Paris 1996.
-
(1996)
Séminaires et Congrès
, vol.1
-
-
-
21
-
-
0003268230
-
Metric structures for riemannian and non-riemannian spaces
-
[Gr99] Birkhäuser, Boston
-
[Gr99] Gromov, M.: Metric structures for Riemannian and non-Riemannian spaces. Progress in Mathematics 152. Birkhäuser, Boston 1999.
-
(1999)
Progress in Mathematics
, vol.152
-
-
Gromov, M.1
-
22
-
-
0003130403
-
Regularity of differential forms minimizing degenerate elliptic functionals
-
[Ha92]
-
[Ha92] Hamburger, C.: Regularity of differential forms minimizing degenerate elliptic functionals. J. Reine Angew. Math. 431 (1992), 7-64.
-
(1992)
J. Reine Angew. Math.
, vol.431
, pp. 7-64
-
-
Hamburger, C.1
-
23
-
-
84972550812
-
The collars of a riemannian manifold and stable isosystolic inequalities
-
[He86]
-
[He86] Hebda, J.: The collars of a Riemannian manifold and stable isosystolic inequalities. Pacific J. Math. 121, 339-356 (1986).
-
(1986)
Pacific J. Math.
, vol.121
, pp. 339-356
-
-
Hebda, J.1
-
24
-
-
3042528460
-
Generalized degree and optimal loewnertype inequalities
-
[IK04]
-
[IK04] Ivanov, S.; Katz, M.: Generalized degree and optimal Loewnertype inequalities, Israel J. Math. 141 (2004), 221-233.
-
(2004)
Israel J. Math.
, vol.141
, pp. 221-233
-
-
Ivanov, S.1
Katz, M.2
-
25
-
-
0002388502
-
Harmonic foliations
-
[KT82] edited by R.J. Knill, M. Kalka, H.C.J. Sealey
-
[KT82] Kamber, F.W., Tondeur, P.: Harmonic foliations. In: Harmonic maps (edited by R.J. Knill, M. Kalka, H.C.J. Sealey), 87-121. Lecture Notes in Math. 949, Springer 1982.
-
Harmonic Maps
, pp. 87-121
-
-
Kamber, F.W.1
Tondeur, P.2
-
26
-
-
0004034109
-
-
Springer
-
[KT82] Kamber, F.W., Tondeur, P.: Harmonic foliations. In: Harmonic maps (edited by R.J. Knill, M. Kalka, H.C.J. Sealey), 87-121. Lecture Notes in Math. 949, Springer 1982.
-
(1982)
Lecture Notes in Math.
, vol.949
-
-
-
27
-
-
0000936803
-
Counterexamples to isosystolic inequalities
-
[Ka95]
-
[Ka95] Katz, M.: Counterexamples to isosystolic inequalities. Geom. Dedicata 57 (1995), 195-206.
-
(1995)
Geom. Dedicata
, vol.57
, pp. 195-206
-
-
Katz, M.1
-
28
-
-
0035995723
-
Local calibration of mass and systolic geometry
-
[Ka02]
-
[Ka02] Katz, M.: Local calibration of mass and systolic geometry. Geometric and Functional Analysis 12, issue 3 (2002), 598-621.
-
(2002)
Geometric and Functional Analysis
, vol.12
, Issue.3
, pp. 598-621
-
-
Katz, M.1
-
29
-
-
0242319579
-
Four-manifold systoles and surjectivity of period map
-
[Ka03]. arXiv:math.DG/0302306
-
[Ka03] Katz, M.: Four-manifold systoles and surjectivity of period map, Comment. Math. Helvetici, 78 (2003) 772-876. arXiv:math.DG/0302306
-
(2003)
Comment. Math. Helvetici
, vol.78
, pp. 772-876
-
-
Katz, M.1
-
30
-
-
85039503966
-
-
[KL04], preprint
-
[KL04] Katz, M.; Lescop, C.: Filling area conjecture, optimal systolic inequalities, and the fiber class in abelian covers, preprint.
-
Filling Area Conjecture, Optimal Systolic Inequalities, and the Fiber Class in Abelian Covers
-
-
Katz, M.1
Lescop, C.2
-
33
-
-
0037503458
-
On products of harmonic forms
-
[Ko01]
-
[Ko01] Kotschick, D.: On products of harmonic forms. Duke Math. J. 107 (2001), no. 3, 521-531.
-
(2001)
Duke Math. J.
, vol.107
, Issue.3
, pp. 521-531
-
-
Kotschick, D.1
-
34
-
-
34249953865
-
Bounds for Korkin-Zolotarev reduced bases and successive minima of a lattice and its reciprocal lattice
-
[LLS90]
-
[LLS90] Lagarias, J.C.; Lenstra, H.W., Jr.; Schnorr, C.P.: Bounds for Korkin-Zolotarev reduced bases and successive minima of a lattice and its reciprocal lattice. Combinatorica 10, 343-358 (1990).
-
(1990)
Combinatorica
, vol.10
, pp. 343-358
-
-
Lagarias, J.C.1
Lenstra Jr., H.W.2
Schnorr, C.P.3
-
35
-
-
2442703707
-
Applications harmoniques dans un tore
-
[Li69]
-
[Li69] Lichnerowicz, A.: Applications harmoniques dans un tore. C.R. Acad. Sci., Sér. A, 269, 912-916 (1969).
-
(1969)
C.R. Acad. Sci., Sér. A
, vol.269
, pp. 912-916
-
-
Lichnerowicz, A.1
-
37
-
-
84968494100
-
On the volume elements on a manifold
-
[Mo65]
-
[Mo65] Moser, J.: On the volume elements on a manifold. Transactions Amer. Math. Soc. 120, 286-294 (1965).
-
(1965)
Transactions Amer. Math. Soc.
, vol.120
, pp. 286-294
-
-
Moser, J.1
-
38
-
-
85039507714
-
The length of harmonic forms on a compact riemannian manifold
-
[NV03] (to appear). arXiv:math.DG/0301369
-
[NV03] Nagy, P. A.; Vernicos, C.: The length of harmonic forms on a compact Riemannian manifold. Transactions A. M. S. (to appear). arXiv:math.DG/0301369
-
Transactions A. M. S.
-
-
Nagy, P.A.1
Vernicos, C.2
-
39
-
-
0013187107
-
Schrödinger operators with magnetic fields and minimal action functionals
-
[Pa01]
-
[Pa01] Paternain, G. P.: Schrödinger operators with magnetic fields and minimal action functionals. Israel J. Math. 123 (2001), 1-27.
-
(2001)
Israel J. Math.
, vol.123
, pp. 1-27
-
-
Paternain, G.P.1
-
40
-
-
84972497504
-
Some inequalities in certain nonorientable riemannian manifolds
-
[Pu52]
-
[Pu52] Pu, P. M.: Some inequalities in certain nonorientable Riemannian manifolds. Pacific J. Math. 2, (1952), 55-71.
-
(1952)
Pacific J. Math.
, vol.2
, pp. 55-71
-
-
Pu, P.M.1
-
41
-
-
51249181987
-
Quelques notions simples en géométrie riemannienne et leurs applications aux feuilletages compacts
-
[Ru79]
-
[Ru79] Rummler, H.: Quelques notions simples en géométrie riemannienne et leurs applications aux feuilletages compacts. Comment. Math. Helv. 54 (1979), 224-239.
-
(1979)
Comment. Math. Helv.
, vol.54
, pp. 224-239
-
-
Rummler, H.1
-
42
-
-
0040580779
-
Basic cohomology and tautness of riemannian foliations
-
[Se88]. Appendix B in: P. Molino
-
[Se88] Sergiescu, V.: Basic cohomology and tautness of Riemannian foliations. Appendix B in: P. Molino, Riemannian foliations, 235-248. Progress in Math. 73, Birkhäuser, Boston-Basel 1988.
-
Riemannian Foliations
, pp. 235-248
-
-
Sergiescu, V.1
-
43
-
-
85039496996
-
-
Birkhäuser, Boston-Basel
-
[Se88] Sergiescu, V.: Basic cohomology and tautness of Riemannian foliations. Appendix B in: P. Molino, Riemannian foliations, 235-248. Progress in Math. 73, Birkhäuser, Boston-Basel 1988.
-
(1988)
Progress in Math.
, vol.73
-
-
-
44
-
-
0002037699
-
A non-linear Hodge-de-Rham theorem
-
[Si70]
-
[Si70] Sibner, L. M.; Sibner, R. J.: A non-linear Hodge-de-Rham theorem. Acta Math. 125 (1970) 57-73.
-
(1970)
Acta Math.
, vol.125
, pp. 57-73
-
-
Sibner, L.M.1
Sibner, R.J.2
-
45
-
-
84968464956
-
A proof of the isosystolic inequality for the Klein bottle
-
[Sa88] 2
-
[Sa88] Sakai, T. : A proof of the isosystolic inequality for the Klein bottle. Proc. Amer. Math. Soc. 104 (1988), no. 2, 589-590.
-
(1988)
Proc. Amer. Math. Soc.
, vol.104
, pp. 589-590
-
-
Sakai, T.1
-
46
-
-
51249182433
-
A homological characterization of foliations consisting of minimal surfaces
-
[Su79]
-
[Su79] Sullivan, D.: A homological characterization of foliations consisting of minimal surfaces. Comment. Math. Helv. 54 (1979), 218-223.
-
(1979)
Comment. Math. Helv.
, vol.54
, pp. 218-223
-
-
Sullivan, D.1
|