Ju n 20 04 The First Closed Eigenvalue and the Li Conjecture ∗
نویسنده
چکیده
We give new estimate on the lower bound for the first non-zero eigenvalue for the closed manifolds with positive Ricci curvature in terms of the diameter and the lower bound of Ricci curvature and give an affirmative answer to the conjecture of P. Li for the closed eigenvalue.
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2 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.
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تاریخ انتشار 2004