Armenian Journal of Mathematics, 9(1)
2017; 1–17
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Characterization of the Unit Tangent Sphere Bundle with g -Natural Metric and Almost Contact B-metric Structure

Farshad Firuzi*, Yousof Alipour-Fakhri, Esmaeil Peyghan

Received: 2024-12-17 · Published: 2017-06-09

© 2017 The Author(s) and the original publisher.

CC BY 4.0 This work is licensed under a Creative Commons Attribution 4.0 International License.
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Original title
Characterization of the Unit Tangent Sphere Bundle with g -Natural Metric and Almost Contact B-metric Structure
Authors
Farshad Firuzi, Yousof Alipour-Fakhri, Esmaeil Peyghan
Source journal
Armenian Journal of Mathematics, 9(1)
Published
2017-06-09
Licence
Creative Commons Attribution 4.0 International
Original
https://armjmath.sci.am/index.php/ajm/article/view/135

Abstract

We consider unit tangent sphere bundle of a Riemannian manifold (M,g)(M,g) as a (2n+1)(2n+1)-dimensional manifold and we equip it with pseudo-Riemannian gg-natural almost contact B-metric structure. Then, by computing coefficients of the structure tensor FF, 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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