首页|Busemann-Petty Type Problem for the General Lp-Centroid Bodies
Busemann-Petty Type Problem for the General Lp-Centroid Bodies
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Lutwak showed the Busemann-Petty type problem(also called the Shep-hard type problem)for the centroid bodies.Grinberg and Zhang gave an affirmation and a negative form of the Busemann-Petty type problem for the Lp-centroid bodies.In this paper,we obtain an affirmation form and two negative forms of the Busemann-Petty type problem for the general Lp-centroid bodies.
Lp-centroid bodygeneral Lp-centroid bodyBusemann-Petty problemaffirmation formnegation form
Weidong Wang
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Three Gorges Mathematical Research Center,China Three Gorges University,Yichang,Hubei 443002,China
College of Science,China Three Gorges University,Yichang,Hubei 443002,China