Zhong–Yang type eigenvalue estimate with integral curvature condition

We prove a sharp Zhong–Yang type eigenvalue lower bound for closed Riemannian manifolds with control on integral Ricci curvature.

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Bibliographic Details
Published inMathematische Zeitschrift Vol. 296; no. 1-2; pp. 595 - 613
Main Authors Ramos Olivé, Xavier, Seto, Shoo, Wei, Guofang, Zhang, Qi S.
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.10.2020
Springer Nature B.V
Subjects
Curvature
Eigenvalues
Integrals
Lower bounds
Mathematics
Mathematics and Statistics
Riemann manifold
Integral Ricci curvature
Laplace eigenvalue
Integral curvature
Eigenvalue estimate
Laplacian
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Summary:We prove a sharp Zhong–Yang type eigenvalue lower bound for closed Riemannian manifolds with control on integral Ricci curvature.
ISSN:0025-5874
1432-1823
DOI:10.1007/s00209-019-02448-w