Three-Manifolds with Bounded Curvature and Uniformly Positive Scalar Curvature

被引：0

作者：

Dong, Conghan ^{[1
]}

机构：

[1] SUNY Stony Brook, Math Dept, Stony Brook, NY 11794 USA

来源：

JOURNAL OF GEOMETRIC ANALYSIS | 2023年 / 33卷 / 06期

关键词：

3-Manifolds; Positive scalar curvature; Collapsing; Injectivity radius; COLLAPSING RIEMANNIAN-MANIFOLDS;

D O I：

10.1007/s12220-023-01225-w

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note, we prove that for a complete noncompact three-dimensional Riemannian manifold with bounded sectional curvature, if it has uniformly positive scalar curvature, then there is a uniform lower bound on the injectivity radius.

引用

页数：11

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