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arXiv · 2211.06661

Proper biharmonic maps on tangent bundle

Nour Elhouda Djaa·Fethi Latti·Abderrahim Zagane
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Abstract

This paper, we define the Mus-Gradient metric on tangent bundle $TM$ by a deformation non-conform of Sasaki metric over an n-dimensional Riemannian manifold $(M, g)$. First we investigate the geometry of the Mus-Gradient metric and we characterize a new class of proper biharmonic maps. Examples of proper biharmonic maps are constructed when all of the factors are Euclidean spaces.

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Nour Elhouda Djaa, Fethi Latti, Abderrahim Zagane. 2022-11-12. Proper biharmonic maps on tangent bundle. https://doi.org/10.46298/cm.10305

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