Affiliation:
1. School of Mathematics , University of Minnesota-Twin Cities , Minneapolis , MN 55455 , USA
Abstract
Abstract
In this paper, we study the interplay of geometry and positive scalar curvature on a complete, non-compact manifold with non-negative Ricci curvature. On three-dimensional manifold, we prove a minimal volume growth, an estimate of integral of scalar curvature and width. On higher-dimensional manifold, we obtain a volume growth with a stronger condition.
Subject
Applied Mathematics,General Mathematics
Cited by
1 articles.
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1. Volume growth of 3-manifolds with scalar curvature lower bounds;Proceedings of the American Mathematical Society;2023-07-14