Characterization of the Unit Tangent Sphere Bundle with $ g $-Natural Metric and Almost Contact B-metric Structure

Authors

  • Farshad Firuzi Department of Mathematics, Payame Noor University, P.O.Box 19395-3697, Tehran, Iran.
  • Yousof Alipour-Fakhri Department of Mathematics, Payame Noor University, P.O.Box 19395-3697, Tehran, Iran.
  • Esmaeil Peyghan Department of Mathematics, Faculty of Science, Arak University, Arak, 38156-8-8349, Iran.

Abstract

We consider unit tangent sphere bundle of a Riemannian manifold $ (M,g) $ as a $ (2n+1) $-dimensional manifold and we equip it with pseudo-Riemannian $ g $-natural almost contact B-metric structure. Then, by computing coefficients of the structure tensor $ F$, we completely characterize the unit tangent sphere bundle equipped to this structure, with respect to the relevant classification of almost contact B-metric structures, and determine a class such that the unit tangent sphere bundle with mentioned structure belongs to it. Also, we find some curvature conditions such that the mentioned structure satisfies each of eleven basic classes.

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Published

2017-06-09

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Articles

How to Cite

Characterization of the Unit Tangent Sphere Bundle with $ g $-Natural Metric and Almost Contact B-metric Structure. (2017). Armenian Journal of Mathematics, 9(1), 43-59. https://armjmath.sci.am/index.php/ajm/article/view/135