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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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