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Mathematics > Analysis of PDEs
Title: Non-preservation of concavity properties by the Dirichlet heat flow on Riemannian manifolds
(Submitted on 7 May 2024)
Abstract: We prove that no concavity properties are preserved by the Dirichlet heat flow in a totally convex domain of a Riemannian manifold unless the sectional curvature vanishes everywhere on the domain.
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