Proper biharmonic maps on tangent bundle

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.

References in corpus (2)

• Biharmonic properties and conformal changes
• On the Geometry of Tangent Bundles with the Rescaled Metric