Berger-type Deformed Sasaki Metric and Harmonicity on Tangent Bundles

Abderrahım ZAGANE

Makale detayları

Berger-type Deformed Sasaki Metric and Harmonicity on Tangent Bundles

Yazarlar:

Abderrahım ZAGANE

Yayıncı:

Salim YÜCE

Ana Başlıklar:

Matematik

Dergi:

Hagia Sophia Journal of Geometry 2022 Vol.4 Issue 1, pp.1-16

Belge Tipi:

Makale

Yayın Tarihi:

7/2022

Belge Dili:

İngilizce

Document ID (Org No.):

2000461811

Sıklık:

İki Yıllık

eISSN:

2687-4261

Özet:

 

In this article, we present some results concerning the harmonicity on the tangent bundle equipped with the Berger-type deformed Sasaki metric. We establish necessary and sufficient conditions under which a vector field is harmonic with respect to the Berger-type deformed Sasaki metric and we construct some examples of harmonic vector fields. We also study the harmonicity of a vector field along a map between Riemannian manifolds, the target manifold being anti-paraKähler equipped with a Berger-type deformed Sasaki metric on its tangent bundle. Also, we discuss the harmonicity of the composition of the projection map of the tangent bundle of a Riemannian manifold with a map from this manifold into another Riemannian manifold, the source manifold being anti-paraKähler whose tangent bundle is endowed with a Berger-type deformed Sasaki metric. After that, we study the harmonicity of the identity map on the tangent bundle equipped with the Berger-type deformed Sasaki metric. Finally, we  introduce the φφ-unit tangent bundle and we also study the harmonicity of the projection map of the φφ-unit tangent bundle.

Makale detayları

Berger-type Deformed Sasaki Metric and Harmonicity on Tangent Bundles

Yazarlar: Abderrahım ZAGANE

Yayıncı: Salim YÜCE

Ana Başlıklar: Matematik

Dergi: Hagia Sophia Journal of Geometry 2022 Vol.4 Issue 1, pp.1-16

Belge Tipi: Makale

Yayın Tarihi: 7/2022

Belge Dili: İngilizce

Document ID (Org No.): 2000461811

Sıklık: İki Yıllık

eISSN: 2687-4261

Sayı

Yazarlar:

Abderrahım ZAGANE

Yayıncı:

Salim YÜCE

Ana Başlıklar:

Matematik

Dergi:

Hagia Sophia Journal of Geometry 2022 Vol.4 Issue 1, pp.1-16

Belge Tipi:

Makale

Yayın Tarihi:

7/2022

Belge Dili:

İngilizce

Document ID (Org No.):

2000461811

Sıklık:

İki Yıllık

eISSN:

2687-4261