Isomorphic Busemann-Petty problem for sections of proportional dimensions
Alexander Koldobsky
TL;DR
This paper introduces an isomorphic version of the Busemann-Petty problem and proves an affirmative solution for sections of proportional dimensions, advancing understanding in convex geometry.
Contribution
It formulates and solves an isomorphic Busemann-Petty problem specifically for sections with proportional dimensions, a novel extension in convex geometry.
Findings
Affirmative solution for sections of proportional dimensions
Extension of Busemann-Petty problem to isomorphic setting
Advancement in convex geometric analysis
Abstract
We formulate an isomorphic version of the Busemann-Petty problem and solve it in affirmative in the case of sections of proportional dimensions.
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