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