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

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

2003-08-25

arxiv.org/abs/math/0308227v1

to appear in "Balkan Journal of Geometry and Its Applications" Vol.9, 2004

Mathematics

Differential Geometry

12 pages, LaTeX2e

Scientific paper

We obtain a locally symmetric Kaehler Einstein structure on the cotangent bundle of a Riemannian manifold of negative constant sectional curvature. Similar results are obtained on a tube around zero section in the cotangent bundle, in the case of a Riemannian manifold of positive constant sectional curvature. The obtained Kaehler Einstein structures cannot have constant holomorphic sectional curvature.

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