Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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ON DEFORMED-SASAKI METRIC AND HARMONICITY IN TANGENT BUNDLES

  • Received : 2020.01.18
  • Accepted : 2020.05.20
  • Published : 2020.07.31
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Abstract

In this paper, we introduce the deformed-Sasaki metric on the tangent bundle TM over an m-dimensional Riemannian manifold (M, g), as a new natural metric on TM. We establish a necessary and sufficient conditions under which a vector field is harmonic with respect to the deformed-Sasaki Metric. We also construct some examples of harmonic vector fields.

Keywords

Acknowledgement

We thank the anonymous reviewers for their insightful comments and suggestions that helped us improve the paper.

References

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