The first Dirichlet Eigenvalue of a Compact Manifold and the Yang Conjecture ∗
نویسنده
چکیده
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.
منابع مشابه
A ug 2 00 4 The First Dirichlet Eigenvalue and the Yang Conjecture ∗
We estimate the lower bound of the first Dirichlet eigenvalue of a compact Riemannian manifold with negative lower bound of Ricci curvature in terms of the diameter and the lower bound of Ricci curvature and give an affirmative answer to the conjecture of H. C. Yang for the first Dirichlet eigenvalue.
متن کاملul 2 00 4 The First Dirichlet Eigenvalue and the Yang Conjecture ∗
We estimate the lower bound of the first Dirichlet eigenvalue of a compact Riemannian manifold with negative lower bound of Ricci curvature in terms of the diameter and the lower bound of Ricci curvature and give an affirmative answer to the conjecture of H. C. Yang for the first Dirichlet eigenvalue.
متن کاملThe First Dirichlet Eigenvalue and the Yang Conjecture ∗
We estimate the lower bound of the first Dirichlet eigenvalue of a compact Riemannian manifold with negative lower bound of Ricci curvature in terms of the diameter and the lower bound of Ricci curvature and give an affirmative answer to the conjecture of H. C. Yang.
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تاریخ انتشار 2008