Harnack inequality for the negative power Gaussian curvature flow

Details Harnack inequality for the negative power Gaussian curvature flow Harnack inequality for the negative power Gaussian curvature flow

2011-02-22

arxiv.org/abs/1102.4507v1

Mathematics

Differential Geometry

11 pages, to appear in Proc. Amer. Math. Soc., 2011

Scientific paper

In this paper, we study the power of Gaussian curvature flow of a compact
convex hypersurface, and establish its Harnack inequality when the power is
negative. In the Harnack inequality, we require the absolute value of the power
is strictly positive and strictly less than the inverse of the dimension of the
hypersurface.

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