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The first eigenvalue of a closed manifold with positive Ricci curvature
Authors:Jun Ling
Institution:Department of Mathematics, Utah Valley State College, Orem, Utah 84058
Abstract:We give a new estimate on the lower bound for the first positive eigenvalue of the Laplacian on a closed manifold with positive Ricci curvature in terms of the lower bound of the Ricci curvature and the largest interior radius of the nodal domains of eigenfunctions of the eigenvalue.

Keywords:Eigenvalue  lower bound  closed Riemannian manifold
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