Remark about scalar curvature on certain noncompact manifolds

arXiv (Cornell University) 2026 Preprint Open access

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Authors: John A. Lott
Cited by: 0

Abstract

We give a sufficient condition to rule out complete Riemannian metrics with nonnegative scalar curvature on the interiors of handlebodies. In higher dimensions, we give examples of ends of manifolds with positive scalar curvature metrics.

Fields of Study & Subjects

Geometric Analysis and Curvature Flows Advanced Differential Geometry Research Nonlinear Partial Differential Equations

Publication details

Journal / source
arXiv (Cornell University)
Publication date
6 January 2026
Document type
Preprint