Berger Type Deformed Sasaki Metric and Harmonicity on the Cotangent Bundle

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International Electronic Journal of Geometry
Volume:14 Issue:1
Berger Type Deformed Sasaki Metric and Harmonicity on the Cotangent Bundle

Berger Type Deformed Sasaki Metric and Harmonicity on the Cotangent Bundle

Pages : 183-195

View : 67 | Download : 8

Publication Date : 2021-04-15

Article Type : Research Paper

Abstract :In this paper, we introduce the Berger type deformed Sasaki metric on the cotangent bundle $T^{\ast}M$ over an anti-paraKähler manifold $insert ignore into journalissuearticles values(M, \varphi, g);$. We establish a necessary and sufficient conditions under which a covector field is harmonic with respect to the Berger type deformed Sasaki metric. We also construct some examples of harmonic vector fields. we also study the harmonicity of a map between a Riemannian manifold and a cotangent bundle of another Riemannian manifold and vice versa.
Keywords : Cotangent bundles, horizontal lift and vertical lift, Berger type deformed Sasaki metric, harmonic maps

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