Stability and slicing inequalities for intersection bodies

Details Stability and slicing inequalities for intersection bodies Stability and slicing inequalities for intersection bodies

2011-08-12

arxiv.org/abs/1108.2631v1

Mathematics

Metric Geometry

Scientific paper

We prove a generalization of the hyperplane inequality for intersection bodies, where volume is replaced by an arbitrary measure $\mu$ with even continuous density and sections are of arbitrary dimension $n-k,\ 1\le k 0,\ 1\le k

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