Bending invariants for hypersurfaces

Rabah Souam

Séminaire de théorie spectrale et géométrie (1998-1999)

  • Volume: 17, page 105-109
  • ISSN: 1624-5458

How to cite

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Souam, Rabah. "Bending invariants for hypersurfaces." Séminaire de théorie spectrale et géométrie 17 (1998-1999): 105-109. <http://eudml.org/doc/114427>.

@article{Souam1998-1999,
author = {Souam, Rabah},
journal = {Séminaire de théorie spectrale et géométrie},
keywords = {bendability; Euclidean spaces; hypersurface; isometric deformation},
language = {eng},
pages = {105-109},
publisher = {Institut Fourier},
title = {Bending invariants for hypersurfaces},
url = {http://eudml.org/doc/114427},
volume = {17},
year = {1998-1999},
}

TY - JOUR
AU - Souam, Rabah
TI - Bending invariants for hypersurfaces
JO - Séminaire de théorie spectrale et géométrie
PY - 1998-1999
PB - Institut Fourier
VL - 17
SP - 105
EP - 109
LA - eng
KW - bendability; Euclidean spaces; hypersurface; isometric deformation
UR - http://eudml.org/doc/114427
ER -

References

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  1. [Al-Ri] F. ALMGREN and I. RIVIN - Themean curvature integral is invariant under bending, Rivin, Igor (ed.) et al., The Epstein Birthday Schrift Geom. Topol. Monogr. 1 (electronic) ( 1988), 1-21. Zbl0914.53007MR1668319
  2. [Co] R. CONNELLY - A counter example to the rigidity conjecture for polyhedra, Inst. Haut. Étud. Sci., Publ. Math. 47 ( 1977). 333-338. Zbl0375.53034MR488071
  3. [CSW] R. CONNELLY, I. SABITOV and A. WALZ - The Bellows conjecture, Beitr. Algebra Geom. 38 ( 1997), 1-10. Zbl0939.52009MR1447981
  4. [Lo] D. LOVELOCK - Intrinsic expressions for curvatures of even order of hypersurfaces in a Euclidean space, Tensor (N.S.) 22 U97U. 274-276. Zbl0208.24201MR295257
  5. [Re] R. REILLY - Variational properties of functions of the mean curvatures for hypersurfaces in space forms, J. Diff. Geom. 8 ( 1973), 465-477. Zbl0277.53030MR341351
  6. [Ri-Sch]. I. RIVIN and J-M. SCHLENKER - The Schläfli formula and Einstein manifolds, Electron. Res. Announc. Am. Math. Soc. 5, No 3 ( 1999), 18-23. Zbl0910.53036MR1669399
  7. [Ro] H. ROSENBERG - Hypersurfaces of constant curvature in space forms, Buil. Sc. Math. 2e série 117 ( 1993). 211-239. Zbl0787.53046MR1216008
  8. [Sab] I. SABITOV - Local theory of bendings of surfaces, in Geometry III,Y. Burago and V. Zalgaller, editors, volume 29 of Encyclopaedia of Mathematical Sciences, Springer, 1993. Zbl0781.53008MR1306733
  9. [Sac] R. SACKSTEDER - The rigidity of hypersurfaces, J. Math. Mech. 11 ( 1962), 929-939. Zbl0108.34702MR144286
  10. [Sch-So] - M. SCHLENKER and R. SOUAM - Higher Schläfli formulas and applications, preprint no 99-06, Université de Paris-Sud, 1999. 
  11. [Spi] M. SPIVAK - A comprehensive introduction to differential geometry, volume V. Publish or Perish, Inc., 1970. Zbl0306.53003MR532834

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