Communications of the Korean Mathematical Society (대한수학회논문집)

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BERGER TYPE DEFORMED SASAKI METRIC ON THE COTANGENT BUNDLE

  • Received : 2020.07.02
  • Accepted : 2021.02.19
  • Published : 2021.07.31
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Abstract

In this paper, we introduce the Berger type deformed Sasaki metric on the cotangent bundle T*M over an anti-paraKähler manifold (M, 𝜑, g) as a new natural metric with respect to g non-rigid on T*M. Firstly, we investigate the Levi-Civita connection of this metric. Secondly, we study the curvature tensor and also we characterize the scalar curvature.

Keywords

Acknowledgement

This note was supported by National Algerian PRFU project.

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