A new proof of the bound for the first Dirichlet eigenvalue of the Laplacian operator
نویسندگان
چکیده
In this paper, we present a new proof of the upper and lower bound estimates for the first Dirichlet eigenvalue λ1 (B (p, r)) of Laplacian operator for the manifold with Ricci curvature Rc ≥ −K, by using Li-Yau’s gradient estimate for the heat equation.
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