A Kähler Einstein structure on the tangent bundle of a space form

Vasile Oproiu

International Journal of Mathematics and Mathematical Sciences, 2001, vol. 25, 1-13

Abstract:

We obtain a Kähler Einstein structure on the tangent bundle of a Riemannian manifold of constant negative curvature. Moreover, the holomorphic sectional curvature of this Kähler Einstein structure is constant. Similar results are obtained for a tube around zero section in the tangent bundle, in the case of the Riemannian manifolds of constant positive curvature.

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:920904

DOI: 10.1155/S0161171201002009

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