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Gradient and Hessian Estimates for Dirichlet and Neumann Eigenfunctions (1803.04233v4)
Published 12 Mar 2018 in math.DG
Abstract: We establish integral formulas and sharp two-sided bounds for the Ricci curvature, mean curvature and second fundamental form on a Riemannian manifold with boundary. As applications, sharp gradient and Hessian estimates are derived for the Dirichlet and Neumann eigenfunctions.
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