Berger Type Deformed Sasaki Metric and Harmonicity on the Cotangent Bundle

Abderrahim ZAGANE

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

Article Details

Berger Type Deformed Sasaki Metric and Harmonicity on the Cotangent Bundle

Authors:

Abderrahim ZAGANE

Publisher:

Kazım İLARSLAN

Main Topics:

Mathematics

Journal:

International Electronic Journal of Geometry 2021 Vol.14 Issue 1, pp.183-195

Document Type:

Article

Publication Date:

4/2021

Document Language:

English

Document ID (Org No.):

2000471612

Frequency:

Bi-Annual

eISSN:

1307-5624

DOI:

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

Abstract:

 

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

Article Details

Berger Type Deformed Sasaki Metric and Harmonicity on the Cotangent Bundle

Authors: Abderrahim ZAGANE

Publisher: Kazım İLARSLAN

Main Topics: Mathematics

Journal: International Electronic Journal of Geometry 2021 Vol.14 Issue 1, pp.183-195

Document Type: Article

Publication Date: 4/2021

Document Language: English

Document ID (Org No.): 2000471612

Frequency: Bi-Annual

eISSN: 1307-5624

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

Issues

Authors:

Abderrahim ZAGANE

Publisher:

Kazım İLARSLAN

Main Topics:

Mathematics

Journal:

International Electronic Journal of Geometry 2021 Vol.14 Issue 1, pp.183-195

Document Type:

Article

Publication Date:

4/2021

Document Language:

English

Document ID (Org No.):

2000471612

Frequency:

Bi-Annual

eISSN:

1307-5624

DOI:

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