The Busemann-petty Problem in Hyperbolic and Spherical Spaces

@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.