The lock principle for scalar curvature

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Georg Frenck, Bernhard Hanke, Sven Hirsch
DOI: 10.48550/arxiv.2602.10932
Cited by: 0

Abstract

We prove a Riemannian positive mass theorem for asymptotically flat spin manifolds with hypersurface singularities. Unlike earlier results, some components of the singular set may be mean-concave, provided that other components of the singular set are sufficiently mean-convex. Our proof uses initial data sets where a suitably chosen second fundamental form transfers convexity defects between different singularity components.

Fields of Study & Subjects

Geometric Analysis and Curvature Flows Advanced Differential Geometry Research Relativity and Gravitational Theory

Publication details

Journal / source
arXiv (Cornell University)
Publication date
11 February 2026
Language
EN
Document type
Preprint