Abstract
Recently, the notion of general (containing symmetric and asymmetric) Lp-intersection bodies was given. In this article, by the Lp-dual mixed volumes and the general Lp-dual Blaschke bodies, we study the Lp-dual affine surface area forms of the Busemann-Petty problems for general Lp-intersection bodies. Our works belong to a new and rapidly evolving asymmetric Lp-Brunn-Minkowski theory.
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Foundation item: Supported by the National Natural Science Foundation of China (11371224)
Biography: PEI Yanni, female, Master candidate, research direction: convex geometric analysis.
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Pei, Y., Wang, W. A type of Busemann-Petty problems for general Lp-intersection bodies. Wuhan Univ. J. Nat. Sci. 20, 471–475 (2015). https://doi.org/10.1007/s11859-015-1121-x
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DOI: https://doi.org/10.1007/s11859-015-1121-x