A Type of Shephard Problems for L p Blaschke-Minkowski Homomorphisms

ZHAO Xia 1 , WANG Weidong 1,2†

1. Department of Mathematics, China Three Gorges University, Yichang 443000, Hubei, China;

2. Three Gorges Mathematical Research Center, China Three Gorges University, Yichang 443000, Hubei, China © Wuhan University 2020

Abstract: The Blaschke-Minkowski homomorphisms was defined by Schuster. Recently, Wang extended its concept to

L p version. In this paper, we obtain affirmative and negative forms of the Shephard type problems for L p geominimal surface areas with respect to the L p Blaschke-Minkowski homomorphisms.

Key words: L p Blaschke-Minkowski homomorphism; Shephard problem; L p geominimal surface area