Beiträge zur Algebra und Geometrie <BR> Contributions to Algebra and GeometryVol. 40, No. 2, pp. 363-372 (1999)

A Locally Symmetric Kaehler Einstein Structure on the Tangent Bundle of a Space Form

V. Oproiu

Faculty of Mathematics, University "Al.I.Cuza", 6600, Iasi, Romania, e-mail:

Abstract: On the tangent bundle of a Riemannian manifold of constant negative sectional curvature there exists a structure of locally symmetric Kaehler Einstein manifold. Such a structure exists in a tube around zero section in the case of a Riemannian manifold of constant positive sectional curvature.

Keywords: tangent bundle, Kaehler Einstein metric, locally symmetric Riemannian manifold

Classification (MSC91): 53C07, 53C55.

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