Back to Search
Start Over
Integral pinched 3-manifolds are space forms
- Publication Year :
- 2007
-
Abstract
- In this paper we prove that, under an explicit integral pinching assumption between the $L^2$-norm of the Ricci curvature and the $L^2$-norm of the scalar curvature, a closed 3-manifold with positive scalar curvature admits an Einstein metric with positive curvature. In particular this implies that the manifold is diffeomorphic to a quotient of ${\Bbb S}^3$.<br />Comment: Some misprints in the first version are corrected
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.0707.0338
- Document Type :
- Working Paper