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On sections of convex bodies in hyperbolic space.
- Source :
-
Journal of Mathematical Analysis & Applications . Jan2017, Vol. 445 Issue 2, p1394-1409. 16p. - Publication Year :
- 2017
-
Abstract
- We consider two problems on sections of convex bodies in hyperbolic space. The first one is a modified version of the Busemann–Petty problem. We look at conditions that guarantee a positive answer to this problem in all dimensions. The second problem is an analogue of a result of Makai, Martini, and Ódor about origin-symmetry. If in every direction the parallel section function has a critical value at zero, then the body is origin-symmetric. For both problems we use Fourier transform techniques. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 445
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 118029953
- Full Text :
- https://doi.org/10.1016/j.jmaa.2016.07.051