General Blaschke Bodies and the Asymmetric Negative Solutions of Shephard Problem

Tian Li, Weidong Wang, Yaping Mao
2019 Mathematics  
In this article, based on the Blaschke combination of convex bodies, we define the general Blaschke bodies and obtain the extremal values of their volume and affine surface area. Further, we study the asymmetric negative solutions of the Shephard problem for the projection bodies.
doi:10.3390/math7070610 fatcat:xt27tdajm5eqxmmd65tq6ndxcq