Contracting Maps and Scalar Curvature

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.

References in corpus (2)

• The Higher Dimensional Positive Mass Theorem II
• Skin Structures in Scalar Curvature Geometry

Cited by in corpus (1)

• Enlargeable Length-structures and Scalar Curvatures