Contracting Maps and Scalar Curvature
Differential Geometry
2019-01-01 v1
Abstract
We explain how to derive largeness constraints in scalar curvature geometry using some basic splitting results and the potential theory on singular area minimizing hypersurfaces. This includes a variety of results like the non-existence of positive scalar curvature metrics on enlargeable manifolds or simplified proofs for positive mass theorems.
Keywords
Cite
@article{arxiv.1812.11839,
title = {Contracting Maps and Scalar Curvature},
author = {Joachim Lohkamp},
journal= {arXiv preprint arXiv:1812.11839},
year = {2019}
}