Skin Structures in Scalar Curvature Geometry

Abstract

This is the third in a series of papers on the geometry and analysis of singular area minimizing hypersurfaces. We show how to derive obstruction and structure theories for scalar curvature constraints without imposing dimensional or topological restrictions on the underlying manifold. To this end, we use skin structures to merge minimal hypersurface methods with surgery arguments.

Cited by in corpus (3)

• The Higher Dimensional Positive Mass Theorem II
• Mass and Riemannian Polyhedra
• Contracting Maps and Scalar Curvature