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Minimal volume invariants, topological sphere theorems and biorthogonal curvature on 4-manifolds (1504.06212v2)
Published 23 Apr 2015 in math.DG and math.GT
Abstract: The goal of this article is to establish estimates involving the Yamabe minimal volume, mixed minimal volume and some topological invariants on compact 4-manifolds. In addition, we provide topological sphere theorems for compact submanifolds of spheres and Euclidean spaces, provided that the full norm of the second fundamental form is suitably bounded.
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