The Higher Dimensional Positive Mass Theorem II

TL;DR

This paper extends the positive mass theorem to higher dimensions without topological restrictions, using novel geometric tools like skin structures and surgeries on specific hypersurfaces.

Contribution

It introduces new methods for proving the positive mass theorem in arbitrary dimensions, removing previous topological constraints.

Findings

Positive mass theorem proven in arbitrary dimensions

Development of skin structures and surgical techniques for hypersurfaces

No topological restrictions required for the theorem

Abstract

We derive the Space-Time Positive Mass theorem in arbitrary dimensions, without topological constraints. The main new tools are skin structures and surgeries on minimal and marginally outer trapped hypersurfaces.