A class of locally symmetric Kaehler Einstein structures on the nonzero cotangent bundle of a space form

Abstract

We obtain a class of locally symetric Kaehler Einstein structures on the nonzero cotangent bundle of a Riemannian manifold of positive constant sectional curvature. The obtained class of Kaehler Einstein structures depends on one essential parameter and cannot have constant holomorphic sectional curvature.

14 pages, LaTeX2e