Berger Type Deformed Sasaki Metric and Harmonicity on the Cotangent Bundle

Year 2021, , 183 - 195, 15.04.2021

Abderrahim Zagane

https://doi.org/10.36890/iejg.793530

Cited By: 4

Abstract

In this paper, we introduce the Berger type deformed Sasaki metric on the cotangent bundle $T^{\ast}M$ over an anti-paraKähler manifold $(M, \varphi, g)$. 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

Thanks

Dear Editor-in-Chief, Thank you for accepting submit article our manuscript " Berger type deformed Sasaki metric and harmonicity on the cotangent bundle". We would be very happy, if our manuscript meets the Journal of Publishing standards "International Electronic Journal of Geometry". Thanks again, Author

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