## Nour Elhouda Djaa ; Fethi Latti ; Abderrahim Zagane - Proper biharmonic maps on tangent bundle

cm:10305 - Communications in Mathematics, November 17, 2022, Volume 31 (2023), Issue 1 - https://doi.org/10.46298/cm.10305
Proper biharmonic maps on tangent bundle

Authors: Nour Elhouda Djaa ; Fethi Latti ; Abderrahim Zagane

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.

Volume: Volume 31 (2023), Issue 1
Published on: November 17, 2022
Accepted on: November 15, 2022
Submitted on: November 15, 2022
Keywords: Mathematics - Differential Geometry