This is an announcement for the paper "Slicing inequalities for subspaces of $L_p.$" by Alexander Koldobsky.

Abstract: We show that the hyperplane conjecture holds for the classes of $k$-intersection bodies with arbitrary measures in place of volume.

Archive classification: math.MG math.FA

Mathematics Subject Classification: 52A20

Submitted from: koldobskiya@missouri.edu

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1310.8102

or

http://arXiv.org/abs/1310.8102