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math.FA2013★ 1 cited
The Lower Dimensional Busemann-Petty Problem in the Complex Hyperbolic Space
Susanna Dann
The lower dimensional Busemann-Petty problem asks whether origin-symmetric convex bodies in R^n with smaller volume of all k-dimensional sections necessarily have smaller volume. T…
math.FA2013★ 2 cited
Intersection Bodies with Certain Symmetries
Susanna Dann, Marisa Zymonopoulou
In this paper we study how certain symmetries of convex bodies affect their geometric properties. In particular, we consider the impact of symmetries generated by the block diagona…