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A type of Busemann-Petty problems for general Lp-intersection bodies

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Wuhan University Journal of Natural Sciences

Abstract

Recently, the notion of general (containing symmetric and asymmetric) Lp-intersection bodies was given. In this article, by the Lp-dual mixed volumes and the general Lp-dual Blaschke bodies, we study the Lp-dual affine surface area forms of the Busemann-Petty problems for general Lp-intersection bodies. Our works belong to a new and rapidly evolving asymmetric Lp-Brunn-Minkowski theory.

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Authors and Affiliations

  1. Department of Mathematics, China Three Gorges University, Yichang, 443002, Hubei, China

    Yanni Pei & Weidong Wang

Authors
  1. Yanni Pei
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  2. Weidong Wang
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Correspondence to Weidong Wang.

Additional information

Foundation item: Supported by the National Natural Science Foundation of China (11371224)

Biography: PEI Yanni, female, Master candidate, research direction: convex geometric analysis.

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Pei, Y., Wang, W. A type of Busemann-Petty problems for general Lp-intersection bodies. Wuhan Univ. J. Nat. Sci. 20, 471–475 (2015). https://doi.org/10.1007/s11859-015-1121-x

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  • DOI: https://doi.org/10.1007/s11859-015-1121-x

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