Geometry of positive scalar curvature on complete manifold
/ Authors
/ 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.
Journal: Journal für die reine und angewandte Mathematik (Crelles Journal)