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arXiv · 1504.06212

Minimal volume invariants, topological sphere theorems and biorthogonal curvature on 4-manifolds

E. Costa·E. Ribeiro Jr
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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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E. Costa, E. Ribeiro Jr. 2015-04-23. Minimal volume invariants, topological sphere theorems and biorthogonal curvature on 4-manifolds. https://arxiv.org/abs/1504.06212

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