Journal of the
Korean Mathematical Society
JKMS

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

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J. Korean Math. Soc. 2006; 43(3): 609-622

Printed May 1, 2006

Copyright © The Korean Mathematical Society.

The monotony properties of generalized projection bodies, intersection bodies and centroid bodies

Wuyang Yu and Donghua Wu

Shanghai University, Shanghai University

Abstract

In this paper, we established the monotony properties of generalized projection bodies $\Pi_i K$, intersection bodies ${\rm I}_iK$ and centroid bodies $\Gamma_i K$.

Keywords: projection bodies, intersection bodies, centroid bodies, quermassintegrals, dual quermassintegrals, monotony properties

MSC numbers: Primary 52A40

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