Extremum of geometric functionals involving general L p $L_{p}$ -projection bodies

Extremum of geometric functionals involving general L p $L_{p}$ -projection bodies

Abstract Following the discovery of general L p $L_{p}$ -projection bodies by Ludwig, Haberl and Schuster determined the extremum of the volume of the polars of this family of L p $L_{p}$ -projection bodies. In this paper, the result of Haberl and Schuster is extended to all dual quermassintegrals,...

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Bibliographic Details
Main Authors: Weidong Wang, Jianye Wang
Format: Article
Language:English
Published: SpringerOpen 2016-05-01
Series:Journal of Inequalities and Applications
Subjects:
general L p $L_{p}$ -projection body
extremum
quermassintegral
dual quermassintegral
L q $L_{q}$ -dual affine surface area
Online Access:http://link.springer.com/article/10.1186/s13660-016-1076-2

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http://link.springer.com/article/10.1186/s13660-016-1076-2

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