Rigidity of area-minimizing two-spheres in three-manifolds
Publication
, Journal Article
Bray, H; Brendle, S; Neves, A
Published in: Communications in Analysis and Geometry
January 1, 2010
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.
Duke Scholars
Published In
Communications in Analysis and Geometry
DOI
ISSN
1019-8385
Publication Date
January 1, 2010
Volume
18
Issue
4
Start / End Page
821 / 830
Related Subject Headings
- Nuclear & Particles Physics
- 4904 Pure mathematics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Bray, H., Brendle, S., & Neves, A. (2010). Rigidity of area-minimizing two-spheres in three-manifolds. Communications in Analysis and Geometry, 18(4), 821–830. https://doi.org/10.4310/CAG.2010.v18.n4.a6
Bray, H., S. Brendle, and A. Neves. “Rigidity of area-minimizing two-spheres in three-manifolds.” Communications in Analysis and Geometry 18, no. 4 (January 1, 2010): 821–30. https://doi.org/10.4310/CAG.2010.v18.n4.a6.
Bray H, Brendle S, Neves A. Rigidity of area-minimizing two-spheres in three-manifolds. Communications in Analysis and Geometry. 2010 Jan 1;18(4):821–30.
Bray, H., et al. “Rigidity of area-minimizing two-spheres in three-manifolds.” Communications in Analysis and Geometry, vol. 18, no. 4, Jan. 2010, pp. 821–30. Scopus, doi:10.4310/CAG.2010.v18.n4.a6.
Bray H, Brendle S, Neves A. Rigidity of area-minimizing two-spheres in three-manifolds. Communications in Analysis and Geometry. 2010 Jan 1;18(4):821–830.
Published In
Communications in Analysis and Geometry
DOI
ISSN
1019-8385
Publication Date
January 1, 2010
Volume
18
Issue
4
Start / End Page
821 / 830
Related Subject Headings
- Nuclear & Particles Physics
- 4904 Pure mathematics
- 0101 Pure Mathematics