Vertical rescaled Cheeger-Gromoll metric and harmonicity on the cotangent bundle

A Zagane, A Gezer - Advanced Studies: Euro-Tbilisi Mathematical …, 2022 - projecteuclid.org
In this paper, we introduce the harmonicity on the cotangent bundle equipped with vertical
rescaled Cheeger-Gromoll metric which rescales the vertical part by a non-zero …

Berger type deformed Sasaki metric and harmonicity on the cotangent bundle

A Zagane - International Electronic Journal of Geometry, 2021 - dergipark.org.tr
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 …

On the cotangent bundle and unit cotangent bundle with a generalized Cheeger-Gromoll metric

A Zagane, NE Djaa, A Gezer - Facta Universitatis, Series …, 2023 - casopisi.junis.ni.ac.rs
In this paper, we consider a generalized Cheeger-Gromoll metric on a cotangent bundle
over a Riemannian manifold, which is obtained by rescaling the vertical part of the Cheeger …

[PDF][PDF] A Study of Para-K\"{a} hler-Norden Structures on Cotangent Bundle with The New Class of Metrics

A Zagane, Z Mohammed - Turkish Journal of Mathematics and …, 2021 - dergipark.org.tr
A Study of Para-Kähler-Norden Structures on Cotangent Bundle with The New Class of Metrics
Page 1 Turk. J. Math. Comput. Sci. 13(2)(2021) 338–347 © MatDer DOI : 10.47000/tjmcs.867188 …

Some notes on Berger type deformed Sasaki metric in the cotangent bundle

A Zagane - International Electronic Journal of Geometry, 2021 - dergipark.org.tr
In the present paper, we study some notes on Berger type deformed Sasaki metric in the
cotangent bundle T∗ MT∗ M over an anti-paraKähler manifold (M, φ, g)(M, φ, g). We …

Geodesics on the cotangent bundle with vertical rescaled Cheeger-Gromoll metric

Z Abderrahım - Hagia Sophia Journal of Geometry, 2021 - dergipark.org.tr
In this paper, we introduce the vertical rescaled Cheeger-Gromoll metric (deformation in the
vertical bundle) on the cotangent bundle T* M over a Riemannian manifold (M, g) and we …

[PDF][PDF] A STUDY OF HARMONICITY ON COTANGENT BUNDLE WITH BERGER-TYPE DEFORMED SASAKI METRIC OVER STANDARD KAHLER MANIFOLD

K Biroud, A Zagane - Communications of the Korean Mathematical …, 2024 - researchgate.net
In this paper, we present some results concerning the harmonicity on the cotangent bundle
equipped with the Berger-type deformed Sasaki metric over standard Kähler manifolds. We …

Note on geodesics of cotangent bundle with Berger-type deformed Sasaki metric over K\" ahlerian manifold

A Zagane - Communications in Mathematics, 2023 - cm.episciences.org
In this paper, first, we introduce the Berger-type deformed Sasaki metric on the cotangent
bundle T∗ M over a standard Kähler manifold (M2m, J, g) and investigate the Levi-Civita …

[PDF][PDF] A new class of metrics and harmonicity on the cotangent bundle

A Zagane - researchgate.net
In this paper, we study the harmonicity on cotangent bundle equipped with the new class of
metrics [13]. We establish necessary and sufficient conditions under which a covector field is …

[PDF][PDF] Quelques structures presque para-complexes Norden sur le fibré cotangent muni d'une nouvelle classe de métriques

A Zagane, M Zagane - researchgate.net
Dans ce travail, nous étudions quelques propriétés de structures presque paracomplexes
Norden sur le fibré cotangent muni d'une nouvelle classe de métriques, où nous …