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The Grassmannian \(L_p\)-sine Blaschke–Santaló Inequality

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Abstract

Based on the mixed Grassmannian \(L_p\)-Busemann random simplex inequality, the Grassmannian \(L_p\)-sine Blaschke–Santaló inequality is established in this paper. This extends the recently obtained \(L_p\)-sine Blaschke–Santaló inequality to the Grassmannian form.

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Acknowledgements

The authors are 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. College of Data Science, Jiaxing University, Jiaxing, 314001, China

    Qingzhong Huang

  2. School of Science, Zhejiang University of Science and Technology, Hangzhou, 310023, China

    Ai-Jun Li

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  1. Qingzhong Huang
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  2. Ai-Jun Li
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Correspondence to Qingzhong Huang.

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The first author was supported by NSFC (Grant No. 11701219) and the Qin Shen Scholar Program of Jiaxing University. The second author was supported by Natural Science Foundation of Zhejiang Province (Grant No. LY22A010001) and NSFC (Grant No. 12231006).

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Huang, Q., Li, AJ. The Grassmannian \(L_p\)-sine Blaschke–Santaló Inequality. J Geom Anal 33, 317 (2023). https://doi.org/10.1007/s12220-023-01381-z

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  • DOI: https://doi.org/10.1007/s12220-023-01381-z

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