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AN APPLICATION OF DUAL CONVEX BODIES TO THE INVERSE GAUSS CURVATURE FLOW
Journal article   Open access  Peer reviewed

AN APPLICATION OF DUAL CONVEX BODIES TO THE INVERSE GAUSS CURVATURE FLOW

Mohammad N. Ivaki and Najwa Mohammad
Proceedings of the American Mathematical Society, Vol.143(3), pp.1257-1271
01/03/2015
DOI: https://doi.org/10.1090/S0002-9939-2014-12314-8

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
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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https://doi.org/10.1090/S0002-9939-2014-12314-8View
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