In this paper we study the geometry of the Mus-gradient metric in Riemannian manifolds. We establish a necessary and sufficient conditions under which a map is harmonic or bi-harmonic with respect to the Mus-gradient metric.
Research Article
Geometry of Mus-gradient Metric and Bi-harmonicity
https://doi.org/10.21203/rs.3.rs-1748851/v1
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In this paper we study the geometry of the Mus-gradient metric in Riemannian manifolds. We establish a necessary and sufficient conditions under which a map is harmonic or bi-harmonic with respect to the Mus-gradient metric.
Mus-gradient metric
harmonic maps
bi-harmonic maps.
No competing interests reported.
posted
You are reading this latest preprint version