Rigidity of area-minimizing two-spheres in three-manifolds

Journal Article (Journal Article)

We give a sharp upper bound for the area of a minimal two-sphere in a three-manifold (M,g) with positive scalar curvature. If equality holds, we show that the universal cover of (M,g) is isometric to a cylinder.

Full Text

Published version (via Digital Object Identifier)

Duke Authors

Bray, Hubert

Cited Authors

Bray, H; Brendle, S; Neves, A

Published Date

January 1, 2010

Published In

Communications in Analysis and Geometry

Volume / Issue

18 / 4

Start / End Page

821 - 830

International Standard Serial Number (ISSN)

1019-8385

Digital Object Identifier (DOI)

10.4310/CAG.2010.v18.n4.a6

Citation Source

Scopus