INEQUALITIES FOR MIXED INTERSECTION BODIES

Citation:

YUAN Shufeng,LENG Gangsong.INEQUALITIES FOR MIXED INTERSECTION BODIES[J].Chinese Annals of Mathematics B,2005,26(3):423~436
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Authors:

YUAN Shufeng; LENG Gangsong

Foundation:

Project supported by the National Natural Science Foundation of China (No.10271071).
Abstract: In this paper, some properties of mixed intersection bodies are given, and inequalities from the dual Brunn-Minkowski theory (such as the dual Minkowski inequality, the dual Aleksandrov-Fenchel inequalities and the dual Brunn-Minkowski inequalities) are established for mixed intersection bodies.

Keywords:

Star body, Mixed intersection body, Dual mixed volume, Spherical radon transform

Classification:

52A40, 52A20
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