**Beiträge zur Algebra und Geometrie <BR> Contributions to Algebra and GeometryVol. 40, No. 2, pp. 363-372 (1999)
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A Locally Symmetric Kaehler Einstein Structure on the Tangent Bundle of a Space Form

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V. Oproiu

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

**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.

**Full text of the article:**

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