Notes on the tangent bundles over<i> F</i>-Kahlerian manifolds

Let TM be the tangent bundle over an F-Ka<spacing diaeresis>hlerian manifold endowed with Berger type deformed Sasaki metric gBS.In this paper, we obtain the Levi-Civita connection of this metric and study geodesics on the tangent bundle TM and F-unit tangent bundle T1,FM. Secondly, we characterize the geodesic curvatures on T1,FM. Finally, we present some conditions for a vector field xi : M -> TM to be harmonic and study the harmonicity of the canonical projection pi: TM -> M. In addition, we search the harmonicity of the Berger type deformed Sasaki metric gBS and the Sasaki metric gS with respect to each other.

Journal

CARPATHIAN MATHEMATICAL PUBLICATIONS

Year

2025

Volume

17

Issue

2

Pages

550-564

ISSN

2075-9827

eISSN

2313-0210

DOI

10.15330/cmp.17.2.550-564

WoS UID

WOS:001655244600013