The First Dirichlet Eigenvalue and the Yang Conjecture ∗
نویسنده
چکیده
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.
منابع مشابه
ul 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 کاملA 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 کاملThe first Dirichlet Eigenvalue of a Compact Manifold and the Yang Conjecture ∗
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.
متن کامل2 2 Ju n 20 04 The First Dirichlet Eigenvalue and the Li Conjecture ∗
We give a new estimate on the lower bound for the first Dirichlet eigenvalue for the compact manifolds with boundary and positive Ricci curvature in terms of the diameter and the lower bound of the Ricci curvature and give an affirmative answer to the conjecture of P. Li for the Dirichlet eigenvalue.
متن کاملun 2 00 4 The First Dirichlet Eigenvalue and Li ’ s Conjecture ∗
We give a new estimate on the lower bound for the first Dirichlet eigenvalue for the compact manifolds with boundary and positive Ricci curvature in terms of the diameter and the lower bound of the Ricci curvature and give an affirmative answer to the conjecture of P. Li for the Dirichlet eigenvalue.
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تاریخ انتشار 2008