Proper biharmonic maps on tangent bundle
Differential Geometry
2023-06-22 v2
Abstract
This paper, we define the Mus-Gradient metric on tangent bundle by a deformation non-conform of Sasaki metric over an n-dimensional Riemannian manifold . 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.
Keywords
Cite
@article{arxiv.2211.06661,
title = {Proper biharmonic maps on tangent bundle},
author = {Nour Elhouda Djaa and Fethi Latti and Abderrahim Zagane},
journal= {arXiv preprint arXiv:2211.06661},
year = {2023}
}