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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초록

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.

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과제정보

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

참고문헌

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