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

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

2004-07-14

arxiv.org/abs/math/0407241v1

Mathematics

Differential Geometry

13 pages, LaTeX2e

Scientific paper

We obtain a class of locally symmetric Kaehler Einstein structures on the cotangent bundle of a Riemannian manifold of negative sectional curvature. Similar results are obtained in the case of a Riemannian manifold of positive sectional curvature. The obtained class of Kaehler Einstein structures depends on one essential parameter and cannot have constant holomorphic sectional curvature.

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