Mus-Sasaki Metric and Harmonicity

Mus-Sasaki Metric and Harmonicity

In this paper, we introduce the Mus-Sasaki metric on the tangent bundle TM, as a new natural metric onTM. We establish necessary and sufficient conditions under which a vector field is harmonic with respectto the Mus-Sasaki metric. We also construct some examples of harmonic vector fields.

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