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Orlicz mixed affine quermassintegrals

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Abstract

A class of geometric quantities for convex bodies is introduced in the framework of Orlicz Brunn-Minkowski theory. It is shown that these new geometric quantities are affine invariant and precisely the generalizations of classical affine quermassintegrals.

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Authors and Affiliations

  1. College of Science, Wuhan University of Science and Technology, Wuhan, 430081, China

    DeYi Li

  2. Department of Mathematics, Shanghai University, Shanghai, 200444, China

    Du Zou & Ge Xiong

Authors
  1. DeYi Li
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  2. Du Zou
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  3. Ge Xiong
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Correspondence to Du Zou.

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Li, D., Zou, D. & Xiong, G. Orlicz mixed affine quermassintegrals. Sci. China Math. 58, 1715–1722 (2015). https://doi.org/10.1007/s11425-014-4965-1

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  • DOI: https://doi.org/10.1007/s11425-014-4965-1

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