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Isomorphic versions of reverse isoperimetric inequalities

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Abstract

Isomorphic versions of the \(L_p\) volume ratio inequalities are established. For the asymmetric cases, using the approach of isotropic embeddings, we also obtain isomorphic versions of the Ball–Barthe simplex inequalities.

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Acknowledgments

The author is indebted to the referee for the valuable suggestions and the very careful reading of the original manuscript.

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Authors and Affiliations

  1. School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo City, 454000, China

    Ai-Jun Li

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  1. Ai-Jun Li
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Correspondence to Ai-Jun Li.

Additional information

Research of the author is supported by NSFC-Henan Joint Fund (U1204102) and Doctoral Fund of Henan Polytechnic University (B2011-024).

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Li, AJ. Isomorphic versions of reverse isoperimetric inequalities. Geom Dedicata 179, 139–151 (2015). https://doi.org/10.1007/s10711-015-0070-z

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  • DOI: https://doi.org/10.1007/s10711-015-0070-z

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