261 citations
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Showing 2013Show all
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math.MG2013
Intersection bodies that are not polar zonoids: A flat top condition in dimensions four and six
M. A. Alfonseca
We find general geometric conditions on a convex body of revolution K, in dimensions four and six, so that its intersection body IK is not a polar zonoid. We exhibit several exampl…
math.DG2013
Intrinsic complements of equiregular sub-Riemannian manifolds
Robert K. Hladky
Under a nondegeneracy condition, we show that an equiregular sub-Riemannian manifold of step size admits a canonical, -rigid complement defined from the sub-Riemannian data…