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    Some harmonic problems on the tangent bundle with a berger-type deformed sasaki metric
    (Politechnica University of Bucharest, 2020) Altunbas, Murat; Simsek, Ramazan; Gezer, Aydin
    Let (M2k, ?, g) be an almost anti-paraHermitian manifold and (T M, gBS) be its tangent bundle with a Berger type deformed Sasaki metric gBS . In this paper, we deal with the harmonicity of the canonical projection ?: T M ? M and a vector field ? which is considered as a map ?: M ? T M. © 2020, Politechnica University of Bucharest. All rights reserved.
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    SOME HARMONIC PROBLEMS ON THE TANGENT BUNDLE WITH A BERGER-TYPE DEFORMED SASAKI METRIC
    (Univ Politehnica Bucharest, Sci Bull, 2020) Altunbas, Murat; Simsek, Ramazan; Gezer, Aydin
    Let (M-2k, phi, g) be an almost anti-paraHermitian manifold and (TM, g(BS)) be its tangent bundle with a Berger type deformed Sasaki metric g(BS). In this paper, we deal with the harmonicity of the canonical projection pi : TM -> M and a vector field xi which is considered as a map xi : M -> TM.
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    A Study Concerning Berger Type Deformed Sasaki Metric on the Tangent Bundle
    (B Verkin Inst Low Temperature Physics & Engineering, 2019) Altunbas, Murat; Simsek, Ramazan; Gezer, Aydin
    Let TM be the tangent bundle over an almost anti-paraHermitian manifold endowed with Berger type deformed Sasaki metric g B s. 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-paraKahler and quasi-anti-paraKahler. Finally, we present certain Riemannian curvature properties of (TM, g(BS)).