Geometry of positive scalar curvature on complete manifold

2022/01/29 by Zhu, Bo · 2 citations
#53C21 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2201.12668

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. In three-dimensional manifold, we prove a minimal volume growth, an estimate of integral of scalar curvature and width. In higher dimensional manifold, we obtain a volume growth with a stronger condition.

Cited by

• On geometry of Q^(2k)_g-curvature
• Sharp integral bound of scalar curvature on 3-manifolds

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