Un résultat de rigidité pour les métriques de Hilbert

Patrick Verovic

Séminaire de théorie spectrale et géométrie (1999-2000)

  • Volume: 18, page 171-173
  • ISSN: 1624-5458

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Verovic, Patrick. "Un résultat de rigidité pour les métriques de Hilbert." Séminaire de théorie spectrale et géométrie 18 (1999-2000): 171-173. <http://eudml.org/doc/114444>.

@article{Verovic1999-2000,
author = {Verovic, Patrick},
journal = {Séminaire de théorie spectrale et géométrie},
keywords = {Hilbert metric; rigidity; discontinuous},
language = {fre},
pages = {171-173},
publisher = {Institut Fourier},
title = {Un résultat de rigidité pour les métriques de Hilbert},
url = {http://eudml.org/doc/114444},
volume = {18},
year = {1999-2000},
}

TY - JOUR
AU - Verovic, Patrick
TI - Un résultat de rigidité pour les métriques de Hilbert
JO - Séminaire de théorie spectrale et géométrie
PY - 1999-2000
PB - Institut Fourier
VL - 18
SP - 171
EP - 173
LA - fre
KW - Hilbert metric; rigidity; discontinuous
UR - http://eudml.org/doc/114444
ER -

References

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  1. [B] Y. BENOIST, Automorphismes des cônes convexes, Preprint, École Normale Supérieure, Paris, 1999. MR1767272
  2. [BE] J.-P. BENZÉCRI, Sur les variétés localement affines et projectives, Bull. Soc. Math. France 88 ( 1960), 229-332. Zbl0098.35204MR124005
  3. [BK] H. BUSEMANN, P. KELLY, Projective geometry and projective metrics, Academic Press, New York, 1953. Zbl0052.37305MR54980
  4. [BU] H. BUSEMANN, The geometry of geodesics, Academic Press, New York, 1955. Zbl0112.37002MR75623
  5. [CV] B. COLBOIS, P. VEROVIC, A rigidity result for Hubert geometries, Preprint. 
  6. [E1] D. EGLOFF, Some new developments in Finsler geometry, Ph.D. thesis, University of Freiburg, 1995. 
  7. [E2] D. EGLOFF, Uniform Finsier Hadamard manifolds, Ann.Inst. H. Poincaré - Phys. Théor. 66 ( 1997), 323-357. Zbl0919.53020MR1456516
  8. [F1] P. FOULON, Géométrie des équations différentielles du second ordre, Ann.Inst. H. Poincaré - Phys. Théor. 45 ( 1986), 1-28. Zbl0624.58011MR856446
  9. [F2] P. FOULON, Locally symmetric Finsier spaces in negative curvature, C. R.Acad. Sci. Paris 324 ( 1997), 1127-1132. Zbl0882.53051MR1451935
  10. [G] W.M. GOLDMAN, Projective geometry on manifolds, Lecture Notes, University of Maryland, 1988. 
  11. [H] P. DE LA HARPE, On Hilbert's metricfor simplices, in Geometric group theory (vol. I, p. 97-119). Cambridge University Press, 1993. Zbl0832.52002
  12. [V] P. VEROVIC, Problème de l'entropie minimale pour les métriques de Finsler, Ergod. Th.and Dynam. Sys.19 ( 1999), 1637-1654. Zbl1009.53053MR1738954

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