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


Author: Mohammad N. Ivaki
Journal: Proc. Amer. Math. Soc. 143 (2015), 1257-1271
MSC (2010): Primary 53C44, 52A05; Secondary 35K55
DOI: https://doi.org/10.1090/S0002-9939-2014-12314-8
Published electronically: October 30, 2014
MathSciNet review: 3293740
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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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Additional Information

Mohammad N. Ivaki
Affiliation: Institut für Diskrete Mathematik und Geometrie, Technische Universität Wien, Wiedner Hauptstr. 8-10, 1040 Wien, Austria
Email: mohammad.ivaki@tuwien.ac.at

DOI: https://doi.org/10.1090/S0002-9939-2014-12314-8
Received by editor(s): April 23, 2013
Received by editor(s) in revised form: July 8, 2013
Published electronically: October 30, 2014
Communicated by: Lei Ni
Article copyright: © Copyright 2014 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.

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