Sur la première valeur propre des tores

Ahmad El Soufi; Saïd Ilias; Antonio Ros

Séminaire de théorie spectrale et géométrie (1996-1997)

  • Volume: 15, page 17-23
  • ISSN: 1624-5458

How to cite

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El Soufi, Ahmad, Ilias, Saïd, and Ros, Antonio. "Sur la première valeur propre des tores." Séminaire de théorie spectrale et géométrie 15 (1996-1997): 17-23. <http://eudml.org/doc/114406>.

@article{ElSoufi1996-1997,
author = {El Soufi, Ahmad, Ilias, Saïd, Ros, Antonio},
journal = {Séminaire de théorie spectrale et géométrie},
keywords = {Laplace eigenvalue; two-dimensional torus; estimate of first eigenvalue},
language = {fre},
pages = {17-23},
publisher = {Institut Fourier},
title = {Sur la première valeur propre des tores},
url = {http://eudml.org/doc/114406},
volume = {15},
year = {1996-1997},
}

TY - JOUR
AU - El Soufi, Ahmad
AU - Ilias, Saïd
AU - Ros, Antonio
TI - Sur la première valeur propre des tores
JO - Séminaire de théorie spectrale et géométrie
PY - 1996-1997
PB - Institut Fourier
VL - 15
SP - 17
EP - 23
LA - fre
KW - Laplace eigenvalue; two-dimensional torus; estimate of first eigenvalue
UR - http://eudml.org/doc/114406
ER -

References

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  1. 1. BERGER, M. : Sur les premières valeurs propres des variétés riemanniennes. Compositio. Math. 26, 129-149 ( 1973). Zbl0257.53048MR316913
  2. 2. BERGER, M., GAUDUCHON, P., MAZET, E. : Le spectre d'une variété riemannienne. Lecture Notes in Math. Vol. 194, Springer 1971. Zbl0223.53034MR282313
  3. 3. EL SOUFI, A., ILIAS, S. : Immersions minimales, première valeur propre du laplacien et volume conforme. Math. Ann. 275, 257-267 ( 1986). Zbl0675.53045MR854009
  4. 4. HERSCH, J. : Quatre propriétés isopérimétriques des membranes sphériques homogènes. C.R. Acad. Sci. Paris 270,1645-1648 ( 1970). Zbl0224.73083MR292357
  5. 5. LI, P., YAU, S.T. : A new conformal invariant and its applications to the Willmore conjecture and the first eigenvalue of compact surfaces. Invent. Math. 69, 269-291 ( 1982). Zbl0503.53042MR674407
  6. 6. MONTIEL, S., ROS, A. : Minimal immersions of surfaces by the first eigenfunctions and conformal area. Invent. Math. 83, 153-166 ( 1986). Zbl0584.53026MR813585
  7. 7. NADIRASHVILI, N. : Berger's isoperimetric problem and minimal immersions of surfaces. Geom. and Funct. Anal, 6, 877-897 ( 1996). Zbl0868.58079MR1415764
  8. 8. YANG, P., YAU, S.T. : Eigenvalues of the laplacian of compact riemann surfaces and minimal submanifolds. Ann. Sc. Sup. Pisa 7, 55-63 ( 1980). Zbl0446.58017MR577325

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