Matrix Li-Yau-Hamilton estimates for the heat equation on Kaehler manifolds

Details Matrix Li-Yau-Hamilton estimates for the heat equation on Kaehler manifolds Matrix Li-Yau-Hamilton estimates for the heat equation on Kaehler manifolds

2002-11-18

arxiv.org/abs/math/0211283v1

Mathematics

Differential Geometry

Scientific paper

We proved a matrix Li-Yau-Hamilton type gradient estimates for the positive
solutin of the heat equation on complete Kaehler manifolds with nonnegative
bisectional curvature. As a consequence we obtain a comparison theorem for the
distance function under this curvature assumption.

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