A Kaehler Einstein structure on the nonzero cotangent bundle of a space form

Abstract

We obtain a Kaehler Einstein structure on the nonzero cotangent bundle of a Riemannian manifold of positive constant sectional curvature. The obtained Kaehler Einstein structure cannot have constant holomorphic sectional curvature and is not locally symmetric.

13 pages, LaTeX2e, to appear in "Italian Journal of Pure and Applied Mathematics", Udine, Italy

References in corpus (1)

• A locally symmetric Kaehler Einstein structure on a tube in the nonzero cotangent bundle of a space form