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Shephard Type Problem for Lp-mixed Blaschke-Minkowski homomorphisms.

Authors :
Chen, Bin
Wang, Weidong
Zhao, Peibiao
Source :
QM - Quaestiones Mathematicae. Oct 2021, Vol. 44 Issue 9, p1219-1232. 14p.
Publication Year :
2021

Abstract

In 2006, Schuster introduced the concept of Blaschke-Minkowski homo-morphism of convex bodies. In this paper, we introduce the Lp-mixed Blaschke-Minkowski homomorphism in Lp-Brunn-Minkowski theory. We then further study the Shephard type problem involving an aļ¬ƒrmative answer and two negative answers for Lp-mixed Blaschke-Minkowski homomorphism. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*CONVEX bodies
*HOMOMORPHISMS

Details

Language :
English
ISSN :
16073606
Volume :
44
Issue :
9
Database :
Academic Search Index
Journal :
QM - Quaestiones Mathematicae
Publication Type :
Academic Journal
Accession number :
153120186
Full Text :
https://doi.org/10.2989/16073606.2020.1785575