Résultats nouveaux a propos des conjectures de Lichnerowicz et de Carathéodory

Luc Rozoy

Séminaire de théorie spectrale et géométrie (1990-1991)

  • Volume: 9, page 13-61
  • ISSN: 1624-5458

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Rozoy, Luc. "Résultats nouveaux a propos des conjectures de Lichnerowicz et de Carathéodory." Séminaire de théorie spectrale et géométrie 9 (1990-1991): 13-61. <http://eudml.org/doc/114310>.

@article{Rozoy1990-1991,
author = {Rozoy, Luc},
journal = {Séminaire de théorie spectrale et géométrie},
keywords = {spherical symmetry; umbilic points; cosmological models},
language = {fre},
pages = {13-61},
publisher = {Institut Fourier},
title = {Résultats nouveaux a propos des conjectures de Lichnerowicz et de Carathéodory},
url = {http://eudml.org/doc/114310},
volume = {9},
year = {1990-1991},
}

TY - JOUR
AU - Rozoy, Luc
TI - Résultats nouveaux a propos des conjectures de Lichnerowicz et de Carathéodory
JO - Séminaire de théorie spectrale et géométrie
PY - 1990-1991
PB - Institut Fourier
VL - 9
SP - 13
EP - 61
LA - fre
KW - spherical symmetry; umbilic points; cosmological models
UR - http://eudml.org/doc/114310
ER -

References

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  3. [3] AVEZ A. - Le ds2 de Schwarzschild parmi les ds2 stationnares, Ann. Inst. Henri Poincaré, 1, (3) ( 1964), 291-300. Zbl0129.21204MR197168
  4. [4] MULLER ZUM HAGEN. - On the analycity of static vacuum solutions of Einstein's equations, Proc. Camb. Phil. Soc., 67 ( 1970), 415. Zbl0191.52505
  5. [5] ISRAËL W.. - Event Horizons in Static Vacuum Space-Times, Physical Review, 164, (5) ( 1967), 1776-1779. 
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  8. [8] BEIG R.., SIMON W. - On the Spherical Symmetry of Static Perfect Fluid in General Relativity, Preprint, Institut Für Theoretische Physik, Universität Wien, UW Th 1Ph, 14, 1990. Zbl0719.53050MR1102135
  9. [9] FEFFERMAN C., GRAHAM C.R. - Conformal Invariants, Astérisque, hors série, 95-116, 1985. Zbl0602.53007MR837196
  10. [10] YORK J .W. - Covariant decomposition of symetric tensors in the theory of gravitation, Ann. Inst. Henri Poincaré A, XXI, (4) ( 1974), 319-332. Zbl0308.53018MR373548
  11. [11] VEY J. - Un théorème de P. Gilkey, Publication de l'université de Grenoble, Institut Fourier. 
  12. [12] AVEZ A.. - Characteristic classe and Weyl tensors : applications to general relativity, Proc. Nat. Acad. Sci. (USA), 66 ( 1970), 265-268. Zbl0197.26503MR263098
  13. [13] SMYTH B., XAVIER F. - A geometric estimate of the index of an umbilic on a smooth surface, Preprint communiqué par Marcel Berger. (Research supported by NSF Grant DMS 87-02383). Zbl0763.53007
  14. [14] SPIVAK M. - A comprehensive Introduction to Differential Geometry, Vol. 3, Second Edition. Publish of Perish, 1979. Zbl0439.53005
  15. [15] ARNOLD V.I., YU S., IL' YASENKO. - Ordinary Differential Equation in Dynamical System I, Encyclopedia of Mathematical Sciences Volume 1 . D.V. Anosov V.I. Arnold Eds. Springer-Verlag, 1988. Zbl0658.00008MR970793
  16. [16] HlRONAKA H. - Ensemble sous analytique, Number Theory Algebraic Geometry and Commutative Algebra, In honor of Yasuo Akisuki, 1973. 
  17. [17] BENEDETTI, RISLER. - Real algebraic and semi-algebraic sets, Heimann, 1990 , p. 178, Theorem 3.10.4. Zbl0694.14006
  18. SULLIVAN. - Liverpool singularities symposium, Springer lecture notes, 192, p. 165. 
  19. [18] BONNET O. - Mémoire sur l'emploi d'un nouveau système de variables dans l'étude des propriétés des surfaces, Journal de Liouville 2e série, V ( 1860), 153-266. 
  20. [19] HAMBURGER H. - Beweis einer Carathéodoryschen Vermutung, Teil I. Ann. of Math., 41 ( 1940), 63-86 - Acta Math. 73 ( 1941), 175-228 - Acta Math. 73 ( 1941), 229-332. Zbl0025.42404MR1052
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