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

D. D. Porosniuc

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

D. D. Porosniuc

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Abstract

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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BibTeX RIS

D. D. Porosniuc. 2003-08-25. A locally symmetric Kaehler Einstein structure on the cotangent bundle of a space form. https://arxiv.org/abs/math/0308227

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