## Generalizations of the Busemann-Petty problem for sections of convex bodies

- B Rubin, Gaoyong Zhang
- J. Funct. Anal
- 2004

@inproceedings{YaskinTheBP, title={The Busemann-petty Problem in Hyperbolic and Spherical Spaces}, author={Vladyslav Yaskin} }

The Busemann-Petty problem asks whether origin-symmetric convex bodies in R n 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.