Dergiler / Hagia Sophia Journal of Geometry / 2021 / Cilt: 3 - Sayı: 2

Harmonic Sections of Tangent Bundles with Horizontal Sasaki Gradient Metric

Harmonic Sections of Tangent Bundles with Horizontal Sasaki Gradient Metric

Abderrahım ZAGANE

Sayfa
31–40
DOI
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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.