Partial Convexity to the Heat Equation

@inproceedings{Li2009PartialCT,
  title={Partial Convexity to the Heat Equation},
  author={Ma Li},
  year={2009}
}
In this paper, we study the partial convexity of smooth solutions to the heat equation on a compact or complete noncompact Riemannian manifold M or on Kaehler-Ricci flow. We show that under a natural assumption, a new partial convexity property for smooth solutions to the heat equation is preserved.