Minimal volume invariants, topological sphere theorems and biorthogonal curvature on 4-manifolds
Differential Geometry
2018-10-09 v2 Geometric Topology
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.
Keywords
Cite
@article{arxiv.1504.06212,
title = {Minimal volume invariants, topological sphere theorems and biorthogonal curvature on 4-manifolds},
author = {E. Costa and E. Ribeiro},
journal= {arXiv preprint arXiv:1504.06212},
year = {2018}
}
Comments
To appear in Mathematische Nachrichten