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arXiv · 1907.03649

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

Li Chen·Qiang Tu·Ni Xiang
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Abstract

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.

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Li Chen, Qiang Tu, Ni Xiang. 2019-07-08. A curvature flow approach to Lp-Christoffel-Minkowski problem for p>1. https://arxiv.org/abs/1907.03649

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