Partial convexity to the heat equation

Details Partial convexity to the heat equation Partial convexity to the heat equation

2006-04-04

arxiv.org/abs/math/0604059v2

Mathematics

Differential Geometry

9 pages

Scientific paper

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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