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Busemann-Petty problems for general L p -intersection bodies

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Abstract

For 0 < p < 1, Haberl and Ludwig defined the notions of symmetric L p -intersection body and nonsymmetric L p -intersection body. In this paper, we introduce the general L p -intersection bodies. Furthermore, the Busemann-Petty problems for the general L p -intersection bodies are shown.

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Authors and Affiliations

  1. Department of Mathematics, China Three Gorges University, Yichang, 443002, P. R. China

    Wei Dong Wang & Ya Nan Li

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  1. Wei Dong Wang
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  2. Ya Nan Li
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Correspondence to Wei Dong Wang.

Additional information

Supported by National Natural Science Foundation of China (Grant No. 11371224) and Foundation of Degree Dissertation of Master of China Three Gorges University (Grant No. 2014PY067)

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Wang, W.D., Li, Y.N. Busemann-Petty problems for general L p -intersection bodies. Acta. Math. Sin.-English Ser. 31, 777–786 (2015). https://doi.org/10.1007/s10114-015-4273-x

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  • DOI: https://doi.org/10.1007/s10114-015-4273-x

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