Restriction de la distance géodésique à un arc et rigidité

René Michel

Bulletin de la Société Mathématique de France (1994)

  • Volume: 122, Issue: 3, page 435-442
  • ISSN: 0037-9484

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Michel, René. "Restriction de la distance géodésique à un arc et rigidité." Bulletin de la Société Mathématique de France 122.3 (1994): 435-442. <http://eudml.org/doc/87699>.

@article{Michel1994,
author = {Michel, René},
journal = {Bulletin de la Société Mathématique de France},
keywords = {rigidity; geodesic},
language = {fre},
number = {3},
pages = {435-442},
publisher = {Société mathématique de France},
title = {Restriction de la distance géodésique à un arc et rigidité},
url = {http://eudml.org/doc/87699},
volume = {122},
year = {1994},
}

TY - JOUR
AU - Michel, René
TI - Restriction de la distance géodésique à un arc et rigidité
JO - Bulletin de la Société Mathématique de France
PY - 1994
PB - Société mathématique de France
VL - 122
IS - 3
SP - 435
EP - 442
LA - fre
KW - rigidity; geodesic
UR - http://eudml.org/doc/87699
ER -

References

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  1. [1] ROMANOV (R.G.). &#x2014; On the uniqueness of the definition of an isotropic Riemannian metric inside a domain in terms of the distances between points of the boundary, Dokl. Akad. Nauk SSSR, t. 218, 2, 1974, p. 295-297. Zbl0316.53038
  2. [2] MUHOMETOV (R.G.). &#x2014; The problem of recovery of a two dimensional Riemannian metric and integral geometry, Soviet Math. Dokl., t. 18, 1977, p. 27-31. Zbl0372.53034
  3. [3] MICHEL (R.). &#x2014; Sur la rigidité imposée par la longueur des géodésiques, Invent. Math., t. 65, 1981, p. 71-83. Zbl0471.53030MR83d:58021
  4. [4] GROMOV (M.). &#x2014; Filling Riemannian manifolds, J. Differential Geom., t. 18, 1983, p. 1-147. Zbl0515.53037MR85h:53029
  5. [5] CROKE (C.B.). &#x2014; Rigidity and the distance between boundary points, J. Differential Geom., t. 33, 1991, p. 445-464. Zbl0729.53043MR92a:53053
  6. [6] OTAL (J.P.). &#x2014; Sur les longueur des géodésiques d'une métrique à courbure négative dans le disque, Comment. Math. Helv., t. 65, 1990, p. 334-347. Zbl0736.53042MR91i:53054
  7. [7] GERVER (M.) et NADIRASHVILI (N.). &#x2014; An isometricity condition for Riemannian metrics on a disk, Soviet Math. Dokl., t. 29, 1984, p. 199-203. Zbl0633.53066
  8. [8] SANTALO (L.). &#x2014; Integral Geometry and Geometric Probability. &#x2014; Addison Wesley, 1976. Zbl0342.53049MR55 #6340
  9. [9] MICHEL (R.). &#x2014; Sur quelques problèmes de Géométrie Globale des Géodésiques, Bol. Soc. Brasil. Mat., t. 9, 2, 1978, p. 19-38. Zbl0415.53031MR81a:53046
  10. [10] BERGER (M.). &#x2014; Lectures on Geodesics in Riemannian Geometry. &#x2014; Tata Institute of Fondamental Research, Bombay, 1965. Zbl0165.55601MR35 #6100
  11. [11] BESSE (A.L.). &#x2014; Manifolds all of whose Geodesics are closed. &#x2014; Ergebnisse der Math., Springer Verlag, 1978. Zbl0387.53010MR80c:53044

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