163 research outputs found
The Busemann-Petty problem in hyperbolic and spherical spaces
The Busemann-Petty problem asks whether origin-symmetric convex bodies in
with smaller central hyperplane sections necessarily have
smaller -dimensional volume. It is known that the answer to this problem is
affirmative if and negative if . We study this problem in
hyperbolic and spherical spaces.Comment: 16 pages, 2 figure
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