Some Notes on Berger Type Deformed Sasaki Metric in the Cotangent Bundle

Year 2021, Volume: 14 Issue: 2, 348 - 360, 29.10.2021

Abderrahım Zagane

https://doi.org/10.36890/iejg.911446

Cited By: 3

Abstract

In the present paper, we study some notes on Berger type deformed Sasaki metric in the cotangent bundle $T^{\ast }M$ over an anti-paraKähler manifold $(M,\phi ,g)$. We characterize some geodesic properties for this metric. Next we also construct some almost anti-paraHermitian structures on $T^{\ast }M$ and search conditions for these structures to be anti-paraKähler and quasi-anti-paraKähler with respect to the Berger type deformed Sasaki metric.

Keywords

Horizontal lift and vertical lift, cotangent bundle, Berger type deformed Sasaki metric, geodesic, paracomplex

Thanks

Dear Editor-in-Chief, Thank you for accepting submit article our manuscript " Some notes on Berger type deformed Sasaki metric in 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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