Un analogue du théorème d'Efimov en courbure variable

Jean-Marc Schlenker

Séminaire de théorie spectrale et géométrie (1994-1995)

  • Volume: 13, page 67-79
  • ISSN: 1624-5458

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Schlenker, Jean-Marc. "Un analogue du théorème d'Efimov en courbure variable." Séminaire de théorie spectrale et géométrie 13 (1994-1995): 67-79. <http://eudml.org/doc/114383>.

@article{Schlenker1994-1995,
author = {Schlenker, Jean-Marc},
journal = {Séminaire de théorie spectrale et géométrie},
keywords = {isometric immersion; Riemann surface; sectional curvature; negative curvature; JFM 32.0608.01},
language = {fre},
pages = {67-79},
publisher = {Institut Fourier},
title = {Un analogue du théorème d'Efimov en courbure variable},
url = {http://eudml.org/doc/114383},
volume = {13},
year = {1994-1995},
}

TY - JOUR
AU - Schlenker, Jean-Marc
TI - Un analogue du théorème d'Efimov en courbure variable
JO - Séminaire de théorie spectrale et géométrie
PY - 1994-1995
PB - Institut Fourier
VL - 13
SP - 67
EP - 79
LA - fre
KW - isometric immersion; Riemann surface; sectional curvature; negative curvature; JFM 32.0608.01
UR - http://eudml.org/doc/114383
ER -

References

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  1. [BS92] Yu.D. BURAGO and S.Z. SHEFEL'. The geometry of surfaces in euclidean spaces. In Yu. D. BURAGO and V. A. ZALGALLER, editors, Geometry III, chapter I, pages 1-86. Spriger, 1992. (Encyclopaedia of Mathematical Sciences, vol. 48). Zbl0781.53006MR1306734
  2. [EFI68] N.V. EFIMOV. Differential criteria for homeomorphisms of certain mappings. Mat. USSRSbornik, 5 no 4:475-488, 1968. Zbl0182.54702
  3. [HIL01] D. HILBERT. Über Fläschen von konstanter Gaußscher Krummung. Trans. Amen Math. Soc, 2:87-99, 1901. JFM32.0608.01
  4. [MIL72] T. KLOTZ MILNOR. Efimov's theorem about complete immersed surfaces of negative curvature. Advances in Mathematics, 8:474-543, 1972. Zbl0236.53055MR301679
  5. [ROZ92] E.R. ROZENDORN. Surfaces of negative curvature. In Yu. D. Burago and V. A. Zalgaller, editors, Geometry III, chapter II, pages 87-178. Springer, 1992. (Encyclopaedia of Mathematical Sciences, vol. 48). Zbl0781.53007MR1306735
  6. [SCH95a] J.-M. SCHLENKER. Hyperbolic Monge-Ampère equations over surfaces. En preparation, 1995. 
  7. [SCH95b] J.-M. SCHLENKER. Immersions isométriques hyperboliques de surfaces. Preprint, Ecole Polytechnique, February 1995. 

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