Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

A splitting theorem for complete manifolds with nonnegative curvature operator


Author: Maria Helena Noronha
Journal: Proc. Amer. Math. Soc. 105 (1989), 979-985
MSC: Primary 53C20
MathSciNet review: 933519
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: It is shown that any complete, noncompact, simply connected Riemannian manifold with nonnegative curvature operator is isometric to the product of its compact soul (in the sense of Cheeger-Gromoll) and a complete manifold diffeomorphic to a Euclidean space


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 53C20

Retrieve articles in all journals with MSC: 53C20


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1989-0933519-0
PII: S 0002-9939(1989)0933519-0
Keywords: Nonnegative curvature, soul
Article copyright: © Copyright 1989 American Mathematical Society