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The first Dirichlet eigenvalue of a compact manifold and the Yang conjecture
Author(s) -
Ling Jun
Publication year - 2007
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200413551
Subject(s) - mathematics , ricci curvature , conjecture , riemannian manifold , upper and lower bounds , pure mathematics , manifold (fluid mechanics) , scalar curvature , dirichlet distribution , eigenvalues and eigenvectors , curvature , mathematical analysis , geometry , physics , quantum mechanics , mechanical engineering , engineering , boundary value problem
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. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)