Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Decomposability preserving curvature operators with an application to Einstein manifolds

Authors: Michael R. Gabel and Stanley M. Zoltek
Journal: Proc. Amer. Math. Soc. 90 (1984), 303-308
MSC: Primary 53C25; Secondary 53B20
MathSciNet review: 727255
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: In this paper we examine curvature operators that preserve decomposability. In particular, we prove that if at each point of an Einstein manifold $ M$ the sectional curvature operator is nonsingular and preserves decomposability, and the sectional curvature is either nonnegative or nonpositive, then $ M$ is a space of nonzero constant curvature.

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

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 53C25, 53B20

Retrieve articles in all journals with MSC: 53C25, 53B20

Additional Information

Keywords: Curvature operator, decomposability preserving, Einstein manifold, constant curvature
Article copyright: © Copyright 1984 American Mathematical Society

American Mathematical Society