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Partial convexity to the heat equation

Li Ma
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Abstract

In this paper, we study the partial convexity of smooth solutions to the heat equation on a compact or complete non-compact Riemannian manifold M or Kahler-Ricci flow. We show that under a natural assumption, a new partial convexity property for smooth solutions to the heat equation is preserved.

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Li Ma. 2009-10-14. Partial convexity to the heat equation. https://arxiv.org/abs/math/0604059

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