The Busemann-Petty problem in hyperbolic and spherical spaces |
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Authors: | V Yaskin |
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Institution: | Department of Mathematics, University of Missouri, Columbia, MO 65211, USA |
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Abstract: | The Busemann-Petty problem asks whether origin-symmetric convex bodies in Rn with smaller central hyperplane sections necessarily have smaller n-dimensional volume. It is known that the answer to this problem is affirmative if n?4 and negative if n?5. We study this problem in hyperbolic and spherical spaces. |
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Keywords: | 52A55 52A20 |
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