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Minkowski Symmetrization and Projection Bodies

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Abstract

Using Minkowski symmetrization, we obtain some sharp isoperimetric inequalities involving the mean width and the volume of the projection body (or the polar body of projection body) of an origin-symmetric convex body in \({\mathbb {R}}^n\).

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Acknowledgements

Research of the author was supported by Sientifific Research Fund of Hunan Provincal Education Department (21B0826). The author is greatly indebted to the reviewers for many valuable comments.

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  1. Department of Mathematics, Hunan International Economics University, Changsha, 410205, China

    Luoyan Xia

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  1. Luoyan Xia
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Xia, L. Minkowski Symmetrization and Projection Bodies. Results Math 77, 240 (2022). https://doi.org/10.1007/s00025-022-01768-4

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