Study Concerning Berger Type Deformed Sasaki Metric on the Tangent Bundle

Let TM be the tangent bundle over an almost anti-paraHermitian manifold endowed with Berger type deformed Sasaki metric g_BS. In this paper,first, we obtain the Levi-Civita connection of this metric and study geodesics on TM. Secondly, we construct some almost anti-paraHermitian structures on TM and search conditions for these structures to be anti-paraKähler and quasi-anti-paraKähler. Finally, we present certain Riemannian curvature properties of (TM, g_BS).

Mathematics Subject Classification 2000: 53C07, 53C55, 53C22.
Key words: Berger type deformed Sasaki metric, paracomplex structure, geodesics, tangent bundle.

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