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Showing 2015 · math.MGShow all
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math.MG2015★ 8 cited
Equality cases in Viterbo's conjecture and isoperimetric billiard inequalities
Alexey Balitskiy
In this note we apply the billiard technique to deduce some results on Viterbo's conjectured inequality between volume of a convex body and its symplectic capacity. We show that th…
math.MG2015★ 10 cited
Embedded flexible spherical cross-polytopes with non-constant volumes
Alexander A. Gaifullin
We construct examples of embedded flexible cross-polytopes in the spheres of all dimensions. These examples are interesting from two points of view. First, in dimensions 4 and high…