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

Abstract

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

13 pages, LaTeX2e

Cited by in corpus (4)

• Cotangent Bundles with General Natural Kahler Structures
• The Holomorphic Sectional Curvature of General Natural KÄhler Structures on Cotangent Bundles
• A Kaehler Einstein structure on the nonzero cotangent bundle of a space form
• A locally symmetric Kaehler Einstein structure on the cotangent bundle of a space form