Journal of Mathematical Physics, Analysis, Geometry
2019, vol. 15, No 4, pp. 435-447     ( to contents , go back )

Study Concerning Berger Type Deformed Sasaki Metric on the Tangent Bundle

Murat Altunbas

Erzincan Binali Yıldırım University, Department of Mathematics, Erzincan, Turkey

Ramazan Simsek

Bayburt University, Technical Sciences Vocational School, Bayburt, Turkey

Aydın Gezer

Ataturk University, Department of Mathematics, Erzurum, 25240, Turkey

Received September 17, 2018, revised December 10, 2018.


Let TM be the tangent bundle over an almost anti-paraHermitian manifold endowed with Berger type deformed Sasaki metric gBS. 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, gBS).

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

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