Équations différentielles caractéristiques de la sphère

S. Gallot

Annales scientifiques de l'École Normale Supérieure (1979)

  • Volume: 12, Issue: 2, page 235-267
  • ISSN: 0012-9593

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Gallot, S.. "Équations différentielles caractéristiques de la sphère." Annales scientifiques de l'École Normale Supérieure 12.2 (1979): 235-267. <http://eudml.org/doc/82035>.

@article{Gallot1979,
author = {Gallot, S.},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {equations of eigenfunctions; eigenforms; spectrum of Laplace operator on Riemannian manifolds; characterization of sphere},
language = {fre},
number = {2},
pages = {235-267},
publisher = {Elsevier},
title = {Équations différentielles caractéristiques de la sphère},
url = {http://eudml.org/doc/82035},
volume = {12},
year = {1979},
}

TY - JOUR
AU - Gallot, S.
TI - Équations différentielles caractéristiques de la sphère
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1979
PB - Elsevier
VL - 12
IS - 2
SP - 235
EP - 267
LA - fre
KW - equations of eigenfunctions; eigenforms; spectrum of Laplace operator on Riemannian manifolds; characterization of sphere
UR - http://eudml.org/doc/82035
ER -

References

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  1. [1] E. RUH, Curvature and Differentiable Structures on Spheres (Comm. Math. Helv., 46, fasc. 1, 1971, p. 127-136). Zbl0206.50704MR44 #7474
  2. [2] M. BERGER, P. GAUDUCHON et E. MAZET, Le spectre d'une variété riemannienne (Lecture Notes in Math., n° 194, Springer-Verlag, 1971). Zbl0223.53034MR43 #8025
  3. [3] M. OBATA, Certain Conditions for a Riemannian Manifold to be Isometric with a Sphere (J. Math. Soc. Japan, vol. 14, 1962, p. 333-340). Zbl0115.39302MR25 #5479
  4. [4] J. SIMONS, On the Transitivity of Holonomy Systems (Annals of Math., vol. 76, 1962, p. 213-234). Zbl0106.15201MR26 #5520
  5. [5] S. TANNO, Some Differential Equations on Riemannian Manifolds (J. Math. Soc. Japan, vol. 30, n° 3, 1978). Zbl0387.53015MR80d:53029
  6. [6] M. BERGER, Sur les groupes d'holonomie homogènes des variétés riemanniennes (C. R. Acad. Sc., t. 262, série A, 1966, p. 1316). Zbl0151.28301MR34 #746
  7. [7] K. TANDAI, Hokkaido Math. J., vol. I, n° 1, 1972, p. 12-15. Zbl0252.53016MR47 #7630
  8. [8] R. B. BROWN et A. GRAY, Riemannian Manifolds with Holonomy Group Spin (9) (Differential Geometry in honor of Kantoro Yono, Kirokuniya Book-Store Co. Ltd., Tokyo, 1972, p. 41-59). Zbl0245.53020MR48 #7159
  9. [9] M. BERGER, Lectures on Geodesics in Riemannian Geometry, Tata Institute of Fundamental Research, Bombay, 1965. Zbl0165.55601MR35 #6100
  10. [10] S. GALLOT et D. MEYER, Opérateur de courbure et laplacien des formes différentielles d'une variété riemannienne (J. Math. pures et appl., t. 54, 1975, p. 259-284). Zbl0316.53036MR56 #13128
  11. [11] S. GALLOT, Variétés dont le spectre ressemble à celui de la sphère (C. R. Acad. Sc., t. 28, série A, 1976, p. 647-650). Zbl0349.58013MR55 #1248

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