A curvature flow approach to Lp-Christoffel-Minkowski problem for p>1

Li Chen; Ni Xiang; Qiang Tu

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A curvature flow approach to Lp-Christoffel-Minkowski problem for p>1

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arxiv 1907.03649 v3 pith:UULG52X2 submitted 2019-07-08 math.AP

A curvature flow approach to Lp-Christoffel-Minkowski problem for p>1

Li Chen , Qiang Tu , Ni Xiang This is my paper

classification math.AP

keywords approachcurvaturelp-christoffel-minkowskiproblemapplicationclosedconvexdepending

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We study the motion of smooth, closed, strictly convex hypersurfaces in Rn+1 expanding in the direction of their normal vector field with speed depending on the k-th elementary symmetric polynomial of the principal radii of curvature. As an application, we gives a unifed fow approach to Lp-Christoffel-Minkowski problem for p > 1.

A curvature flow approach to Lp-Christoffel-Minkowski problem for p>1

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