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Radial Blaschke–Minkowski homomorphisms and volume differences

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Abstract

In this paper we establish Minkowski, Brunn–Minkowski, and Aleksandrov-Fenchel type inequalities for volume differences of radial Blaschke–Minkowski homomorphisms.

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Authors and Affiliations

  1. Department of Mathematics, China Jiliang University, 310018, Hangzhou, People’s Republic of China

    Changjian Zhao

  2. Department of Mathematics, The University of Hong Kong, Pokfulam Road, Hong Kong, Hong Kong

    Wing-Sum Cheung

Authors
  1. Changjian Zhao
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  2. Wing-Sum Cheung
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Corresponding author

Correspondence to Changjian Zhao.

Additional information

Changjian Zhao—Research is supported by National Natural Sciences Foundation of China (10971205).

Wing-Sum Cheung—Research is partially supported by the Research Grants Council of the Hong Kong SAR, China (Project No: HKU7016/07P) and a HKU Seed Grant for Basic Research.

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Zhao, C., Cheung, WS. Radial Blaschke–Minkowski homomorphisms and volume differences. Geom Dedicata 154, 81–91 (2011). https://doi.org/10.1007/s10711-010-9568-6

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  • DOI: https://doi.org/10.1007/s10711-010-9568-6

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