Smooth solutions to the Gauss image problem

Di Wu; Li Chen; Ni Xiang

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Smooth solutions to the Gauss image problem

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arxiv 2012.11367 v1 pith:AO7VJUCE submitted 2020-12-21 math.AP

Smooth solutions to the Gauss image problem

Li Chen , Di Wu , Ni Xiang This is my paper

classification math.AP

keywords problemgaussimagesmoothsolutionsvectorsaleksandrovconsidering

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In this paper we study the the Gauss image problem, which is a generalization of the Aleksandrov problem in convex geometry. By considering a geometric flow involving Gauss curvature and functions of normal vectors and radial vectors, we obtain the existence of smooth solutions to this problem.

Smooth solutions to the Gauss image problem

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