SOME RESULTS OF HARMONICITY ON TANGENT BUNDLES WITH φ-SASAKIAN METRICS OVER PARA-KAHLER-NORDEN MANIFOLD
Year: 2023
Type: article
Abstract: In this paper, we introduce the φ-Sasaki metric on the tangent bundle T M over a para-Kähler-Norden manifold (M 2m , φ, g).First, we study the harmonicity of a vector field with respect to this metric, we also construct some examples of harmonic vector fields.Secondly, we study the harmonicity of a vector field along a map between Riemannian manifolds, the target manifold being para-Kähler-Norden equipped with the φ-Sasaki metric on its tangent bundle.Thirdly, 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 para-Kähler-Norden whose tangent bundle is endowed with the φ-Sasaki metric.Finally, we study the harmonicity of the tangent map of smooth map between para-Kähler-Norden manifolds.
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4389236394