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General Blaschke Bodies and the Asymmetric Negative Solutions of Shephard Problem

Author

Listed:
  • Tian Li

    (College of Mathematics and Statistics, Qinghai Normal University, Xining 810000, China)

  • Weidong Wang

    (Department of Mathematics, China Three Gorges University, Yichang 443002, China)

  • Yaping Mao

    (College of Mathematics and Statistics, Qinghai Normal University, Xining 810000, China)

Abstract

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.

Suggested Citation

  • Tian Li & Weidong Wang & Yaping Mao, 2019. "General Blaschke Bodies and the Asymmetric Negative Solutions of Shephard Problem," Mathematics, MDPI, vol. 7(7), pages 1-10, July.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:7:p:610-:d:247022
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