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ISOPERIMETRIC INEQUALITIES FOR Lp GEOMINIMAL SURFACE AREA*

Published online by Cambridge University Press:  01 August 2011

BAOCHENG ZHU ,
NI LI  and
JIAZU ZHOU
BAOCHENG ZHU
Affiliation:
School of Mathematics and Statistics, Southwest University, Chongqing 400715, China e-mail: zhubaocheng814@163.com
NI LI
Affiliation:
School of Mathematics and Statistics, Southwest University, Chongqing 400715, China
JIAZU ZHOU
Affiliation:
School of Mathematics and Statistics, Southwest University, Chongqing 400715, China
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Abstract

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In this paper, we establish a number of Lp-affine isoperimetric inequalities for Lp-geominimal surface area. In particular, we obtain a Blaschke–Santaló type inequality and a cyclic inequality between different Lp-geominimal surface areas of a convex body.

Keywords

52A40
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 53 , Issue 3 , September 2011 , pp. 717 - 726
Copyright
Copyright © Glasgow Mathematical Journal Trust 2011

References

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