3 papers
math.DG2026
Remark about scalar curvature on certain noncompact manifolds
John Lott
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…
math.DG2025
Scalar curvature and Dirac operator for some singular spaces
John Lott
We look at smooth manifolds equipped with a possibly singular Riemannian metric. We give sufficient conditions for the existence of scalar curvature measures and Dirac operators.
math.DG2025
Some obstructions to positive scalar curvature on a noncompact manifold
John Lott
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 vol…