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PDF Availablehttps://doi.org/10.1093/qmathj/haz050
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Cite Journal: The Quarterly Journal of Mathematics |  Publication Date: Feb 10, 2020 |
Affiliation: Tianjin University
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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