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math.FA2005
Non-intersection bodies all of whose central sections are intersection bodies
M. Yaskina
We construct symmetric convex bodies that are not intersection bodies, but all of their central hyperplane sections are intersection bodies. This result extends the studies by Weil…
math.FA2005
A solution to the lower dimensional Busemann-Petty problem in the hyperbolic space
V. Yaskin
The lower dimensional Busemann-Petty problem asks whether origin symmetric convex bodies in with smaller volume of all -dimensional sections necessarily have smal…