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math.DG2018
On open flat sets in spaces with bipolar comparison
Nina Lebedeva
We show that if a Riemannian manifold satisfies (3,3)-bipolar comparisons and has an open flat subset then it is flat. The same holds for a version of MTW where the perpendicularit…
math.DG2006
Dimensions of products of hyperbolic spaces
Nina Lebedeva
We give estimates on asymptotic dimensions of products of general hyperbolic spaces with following applications to the hyperbolic groups. We give examples of strict inequality in t…