Pinching theorem for the first eigenvalue on positively curved manifolds-Reference-Cited by-同舟云学术

Pinching theorem for the first eigenvalue on positively curved manifolds

Published:1981-06 Issue:2 Volume:65 Page:221-225
ISSN:0020-9910
Container-title:Inventiones Mathematicae
language:en
Short-container-title:Invent Math

Author:

Li Peter,Zhong Jia Qing

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/article/10.1007/BF01389012/fulltext.html

Reference5 articles.

1. Gallot, Un théorème de pincement et une estimation sur la première valeur propre du laplacien d'une variété riemannienne. C.R. Acad. Sci. (Paris) t.289, 8 série A 411?444 (1979)

2. Grove, K., Shiohama, K.: A generalized sphere theorem. Ann. of Math.106, 201?211 (1977)

3. Li, P., Yau, S.T.: Estimates of eigenvalues of a compact Riemannian manifold. Proc. Sym. Pure Math.36, 205?239 (1980)

4. Lichnerowicz, A.: Geometrie des groupes de transformations. Paris: Dunod 1958

5. Pinsky, M.: A topological version of Obata's sphere theorem. J. Differential Geometry14, 369?376 (1979)

Cited by 7 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. First eigenvalue pinching for Euclidean hypersurfaces via $$k$$ k -th mean curvatures;Annals of Global Analysis and Geometry;2015-03-03

2. Geometric and topological rigidity for compact submanifolds of odd dimension;Science China Mathematics;2014-01-03

3. Eigenvalue pinching theorems on compact symmetric spaces;Proceedings of the American Mathematical Society;1998

4. Un nouveau résultat de pincement de la première valeur propre du laplacien et conjecture du diamètre pincé;Annales de l’institut Fourier;1993

5. Applications of Eigenvalue Techniques to Geometry;Contemporary Geometry;1991