February 20, 2024Open Access

Some obstructions to positive scalar curvature on a noncompact manifold

Key Points

Key points are not available for this paper at this time.

Abstract

We give obstructions for a noncompact manifold to admit a complete Riemannian metric with (nonuniformly) positive scalar curvature. We treat both the finite volume and infinite volume cases.

Read Full Paperexternally

AIに質問

Bookmark

View Full Paper

Cite This Study

John Lott (Tue,) studied this question.

synapsesocial.com/papers/68e7881cb6db6435876faa29 https://doi.org/https://doi.org/10.48550/arxiv.2402.13239

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1Complete Riemannian 4-manifolds with uniformly positive scalar curvature2024
2On open manifolds admitting no complete metric with positive scalar curvature2026
3On open manifolds admitting no complete metric with positive scalar curvature2024
4Volume growth and positive scalar curvature2024 · 3 citations
5Geometry of three-dimensional manifolds with positive scalar curvature2026

AIに質問

Bookmark

View Full Paper