Study of some harmonicity problems concerning the rescaled Sasaki metric
Keywords:
Riemannian manifold, tangent bundle, rescaled Sasaki metric, harmonicityAbstract
This paper introduces the concept of harmonicity on the tangent bundle endowed with a rescaled Sasaki metric. Firstly, we study the harmonicity of a vector field on the tangent bundle. Secondly, we investigate the harmonicity of the composition of a vector field and mapping between Riemannian manifolds. Afterwards, we explore the harmonicity of composition between the natural projection of a Riemannian manifold and a map of this manifold to another. Finally, we investigate the harmonicity of the tangent map.
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Published
2025-03-23
How to Cite
Zagane, A., & Latti, F. (2025). Study of some harmonicity problems concerning the rescaled Sasaki metric. International Journal of Maps in Mathematics, 8(1), 160–176. Retrieved from https://simadp.com/journalmim/article/view/233
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