Volume Difference Inequalities for the Polars of Mixed Complex Projection Bodies

Volume Difference Inequalities for the Polars of Mixed Complex Projection Bodies

Year:    2019

Author:    Bo Han, Yuan-Yuan Zhang, Wei-Dong Wang

Communications in Mathematical Research , Vol. 35 (2019), Iss. 2 : pp. 149–158

Abstract

In this paper, based on the notion of mixed complex projection and generalized the recent works of other authors, we obtain some volume difference inequalities containing Brunn-Minkowski type inequality, Minkowski type inequality and Aleksandrov-Fenchel inequality for the polars of mixed complex projection bodies. 

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.13447/j.1674-5647.2019.02.06

Communications in Mathematical Research , Vol. 35 (2019), Iss. 2 : pp. 149–158

Published online:    2019-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    10

Keywords:    mixed complex projection body polar volume difference Brunn-Minkowski type inequality Minkowski type inequality

Author Details

Bo Han

Yuan-Yuan Zhang

Wei-Dong Wang