The first Dirichlet eigenvalue of a compact manifold and the Yang conjecture

DOI10.1002/MANA.200413551zbMath1130.58018arXivmath/0407138OpenAlexW2062626027WikidataQ123134819 ScholiaQ123134819MaRDI QIDQ5434597

Jun Ling

Publication date: 7 January 2008

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0407138

zbMATH Keywords

Ricci curvatureLaplacianDirichlet eigenvaluenon-negative mean curvature

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (3)

First eigenvalues of geometric operators under the Yamabe flow ⋮ A lower bound for the first eigenvalue in the Laplacian operator on compact Riemannian manifolds ⋮ Lower estimates for the first eigenvalue of the Laplace operator on doubly connected domains in a Riemannian manifold

Cites Work

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