Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Notes on the Second Tangent Bundle over an Anti-biparaKaehlerian Manifold

  • Nour Elhouda Djaa (Relizane University, Faculty of Sciences and Technology, Department of Mathematics) ;
  • Aydin Gezer (Ataturk University, Faculty of Science, Department of Mathematics)
  • Received : 2022.02.15
  • Accepted : 2022.06.08
  • Published : 2023.03.31
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Abstract

In this note, we define a Berger type deformed Sasaki metric as a natural metric on the second tangent bundle of a manifold by means of a biparacomplex structure. First, we obtain the Levi-Civita connection of this metric. Secondly, we get the curvature tensor, sectional curvature, and scalar curvature. Afterwards, we obtain some formulas characterizing the geodesics with respect to the metric on the second tangent bundle. Finally, we present the harmonicity conditions for some maps.

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References

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