Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

Article

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J. Korean Math. Soc. 2007; 44(2): 297-306

Printed March 1, 2007

Copyright © The Korean Mathematical Society.

Inequalities for star duals of intersection bodies

Yuan Jun, Zhu Huawei, and Leng Gangsong

Nanjing Normal University, Guangzhou University, Shanghai University

Abstract

In this paper, we present a new kind of duality between intersection bodies and projection bodies. Furthermore, we establish some counterparts of dual Brunn-Minkowski inequalities for intersection bodies.

Keywords: star body, star dual, intersection body, radial Blaschke sum, harmonic Blaschke sum

MSC numbers: 52A40, 52A20