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math.DG2015
Spaces of nonnegatively curved surfaces
Taras Banakh, Igor Belegradek
We determine the homeomorphism type of the space of smooth complete nonnegatively curved metrics on surfaces of positive Euler characteristic equipped with the topology of un…
math.DG2015
Space of nonnegatively curved metrics and pseudoisotopies
Igor Belegradek, F. Thomas Farrell, Vitali Kapovitch
Let V be an open manifold with complete nonnegatively curved metric such that the normal sphere bundle to a soul has no section. We prove that the souls of nearby nonnegatively cur…