Shephard type problem for Lp-mixed Blaschke-Minkowski homomorphisms

  • Bin Chen
  • Weidong Wang
  • Peibiao Zhao
Keywords: Brunn-Minkowski theory, convex body, Lp-mixed Blaschke-Minkowski homo- morphism, Shephard problem.

Abstract

In 2006, Schuster introduced the concept of Blaschke-Minkowski homomorphism 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 affirmative answer and two negative answers for Lp-mixed Blaschke-Minkowski homomorphism.

Published
2021-11-09
Section
Articles

Journal Identifiers


eISSN: 1727-933X
print ISSN: 1607-3606