The first Dirichlet Eigenvalue of a Compact Manifold and the Yang Conjecture

2004/07/08 by Jun Ling, Ling, Jun · 1 citation
Mathematics · #35P15 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Nonlinear Partial Differential Equations #Primary 58J50 #Secondary 53C21 #math.AP #math.DG #msc:35P15 #msc:53C21 #msc:58J50

paper · pdf · doi:10.48550/arxiv.math/0407138

14 pages, Title changed

openalex publication_date 2004/07/08 · arxiv created 2004/12/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a new estimate on the lower bound of the first Dirichlet eigenvalue of a compact Riemannian manifold with negative lower bound of Ricci curvature and provide a solution for a conjecture of H. C. Yang.

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