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On Properties of p-critical Points of Convex Bodies

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【作者】 Huang XingGuo QiJi You-qing

【Author】 Huang Xing;Guo Qi;Ji You-qing;Department of Mathematics, Suzhou University of Science and Technology;

【机构】 Department of Mathematics, Suzhou University of Science and Technology

【摘要】 Properties of the p-measures of asymmetry and the corresponding affine equivariant p-critical points, defined recently by the second author, for convex bodies are discussed in this article. In particular, the continuity of p-critical points with respect to p on(1, +∞) is confirmed, and the connections between general p-critical points and the Minkowski-critical points(∞-critical points) are investigated. The behavior of p-critical points of convex bodies approximating a convex bodies is studied as well.

【基金】 The NSF(11271282)of China;the GIF(CXLX12 0865)of Jiangsu Province
  • 【DOI】10.13447/j.1674-5647.2015.02.07
  • 【分类号】O186.5
  • 【下载频次】28
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