shephard problem
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A variant of the L-Shephard problem via (p,q)-projection bodies

2021 ◽  
pp. 125411
Author(s):  
Denghui Wu ◽  
Zhen-Hui Bu
Keyword(s):  
Shephard Problem ◽  
Projection Bodies

scholarly journals General Blaschke Bodies and the Asymmetric Negative Solutions of Shephard Problem

Mathematics ◽  
2019 ◽  
Vol 7 (7) ◽  
pp. 610
Author(s):  
Tian Li ◽  
Weidong Wang ◽  
Yaping Mao
Keyword(s):  
Surface Area ◽  
Convex Bodies ◽  
Affine Surface ◽  
Affine Surface Area ◽  
Extremal Values ◽  
Shephard Problem ◽  
Projection Bodies

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.

scholarly journals Variants of the Busemann–Petty Problem and of the Shephard Problem

2016 ◽  
pp. rnw046
Author(s):  
Apostolos Giannopoulos ◽  
Alexander Koldobsky
Keyword(s):  
Shephard Problem

An explicit counter-example for the shephard problem of convex bodies in ℝ n

2015 ◽  
Vol 31 (12) ◽  
pp. 1941-1950
Author(s):  
Yun Wei Xia ◽  
Chun Na Zeng
Keyword(s):  
Convex Bodies ◽  
Counter Example ◽  
Shephard Problem

Stability in the shephard problem for L p -projection of convex bodies

2014 ◽  
Vol 19 (4) ◽  
pp. 283-288
Author(s):  
Xinhong Li ◽  
Tongyi Ma
Keyword(s):  
Convex Bodies ◽  
Shephard Problem

scholarly journals On the analog of Shephard problem for the L_p-projection body

2011 ◽  
pp. 181-192
Author(s):  
Tong-Yi Ma ◽  
Wei-Dong Wang
Keyword(s):  
Projection Body ◽  
Shephard Problem
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