An application of dual convex bodies to the inverse Gauss curvature flow

Ivaki, Mohammad

doi:10.1090/S0002-9939-2014-12314-8

An application of dual convex bodies to the inverse Gauss curvature flow
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by Mohammad N. Ivaki

Proc. Amer. Math. Soc. 143 (2015), 1257-1271

DOI: https://doi.org/10.1090/S0002-9939-2014-12314-8

Published electronically: October 30, 2014

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Abstract:

By means of dual convex bodies, we obtain regularity of solutions of the expanding Gauss curvature flows with the homogeneity degrees $-p$, $0<p<1$. At the end, we remark that our method can also be used to obtain regularity of solutions to the shrinking Gauss curvature flows with the homogeneity degrees less than one.

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