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arXiv · 1812.11839

Contracting Maps and Scalar Curvature

Joachim Lohkamp
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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.

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Joachim Lohkamp. 2018-12-31. Contracting Maps and Scalar Curvature. https://arxiv.org/abs/1812.11839

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