- Hagia Sophia Journal of Geometry
- Vol: 3 Issue: 2
- Harmonic Sections of Tangent Bundles with Horizontal Sasaki Gradient Metric
Harmonic Sections of Tangent Bundles with Horizontal Sasaki Gradient Metric
Authors : Abderrahım Zagane
Pages : 31-40
View : 11 | Download : 2
Publication Date : 2021-12-27
Article Type : Research
Abstract :In this paper, we introduce harmonic sections of tangent bundles with horizontal Sasaki gradient metric, then we establish necessary and sufficient conditions under which a vector field is harmonic with respect to this metric. We also construct some examples of harmonic vector fields. After that, we study the harmonicity of the maps between a Riemannian manifold and the tangent bundle over another Riemannian manifold or vice versa.Keywords : tangent bundles, horizontal Sasaki gradient metric, harmonic maps