Dénombrement de géodésiques fermées, sous contraintes homologiques

Nalini Anantharaman

Séminaire de théorie spectrale et géométrie (2000-2001)

  • Volume: 19, page 53-65
  • ISSN: 1624-5458

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Anantharaman, Nalini. "Dénombrement de géodésiques fermées, sous contraintes homologiques." Séminaire de théorie spectrale et géométrie 19 (2000-2001): 53-65. <http://eudml.org/doc/114458>.

@article{Anantharaman2000-2001,
author = {Anantharaman, Nalini},
journal = {Séminaire de théorie spectrale et géométrie},
keywords = {rotation number; asymptotic cycle; closed geodesics with prescribed homology},
language = {fre},
pages = {53-65},
publisher = {Institut Fourier},
title = {Dénombrement de géodésiques fermées, sous contraintes homologiques},
url = {http://eudml.org/doc/114458},
volume = {19},
year = {2000-2001},
}

TY - JOUR
AU - Anantharaman, Nalini
TI - Dénombrement de géodésiques fermées, sous contraintes homologiques
JO - Séminaire de théorie spectrale et géométrie
PY - 2000-2001
PB - Institut Fourier
VL - 19
SP - 53
EP - 65
LA - fre
KW - rotation number; asymptotic cycle; closed geodesics with prescribed homology
UR - http://eudml.org/doc/114458
ER -

References

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  2. [A2] N. ANANTHARAMANCounting geodesics which are optimal in homology, à paraître dans Erg. Th. Dyn. Syst. Zbl1042.37048
  3. [BL] M. BABILLOT, F. LEDRAPPIER, Lalley's theorem on periodic orbits of hyperbolic flows, Erg. Th. Dyn. Syst. 18, 17-39, 1998. Zbl0915.58074MR1609507
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  5. [F] A. FATHI, Théorème KAM faible et théorie de Mather sur les systèmes lagrangiens, C.R. Acad. Sci. Paris, Série 1324 ( 1997), 1043-1046; Zbl0885.58022MR1451248
  6. A. FATHI, Solutions KAM faible et barrières de Peierls, C.R. Acad. Sci. Paris, Série 1325 ( 1997), 649-652; Zbl0943.37031MR1473840
  7. A. FATHI, Orbites hétéroclines et ensemble de Peierls, C.R. Acad. Sci. Paris Sér. I Math. 326 ( 1998), no. 10, 1213-1216; Zbl0915.58033MR1650195
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  9. [H] H. HUBER, Zur analytischen Theorie hyperbolischer Raumformen und Bewegungsgruppen (I), Math. Ann. 138,1-26, 1959, (II), Math. Ann. 142, 385-398, 1961, (III), Math. Ann. 143, 463-464, 1961. Zbl0101.05702MR109212
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  12. [L] S. LALLEY, Closed geodesics in homology classes on surfaces of variable negative curvature, Duke Math. J. 58, 795-821, 1989. Zbl0732.53035MR1016446
  13. [Mn] R. MANE, Generic properties and problems of minimizing measures of Lagrangian Systems, Non linearity 9 (2), 273-310, 1996. Zbl0886.58037MR1384478
  14. [Mr] G. MARGULIS, Applications of ergodic theory for the investigation of manifolds of negative curvature, Funct. Anal. Applic. 3, 335-336, 1969. Zbl0207.20305MR257933
  15. [Ms] D. MASSART, Stable norms of surfaces: local structure of the unit ball at rational directions, Geom. Funct. Anal. 7, 996-1010, 1997. Zbl0903.58001MR1487751
  16. [Mt] J. MATHER, Action minimizing invariant measures for positive definite Lagrangian Systems, Math. Z. 207, 169-207, 1991. Zbl0696.58027MR1109661
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