Beitr\ EMIS ELibM Electronic Journals Beiträge zur Algebra und Geometrie
Contributions to Algebra and Geometry
Vol. 50, No. 1, pp. 155-178 (2009)

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Curvature properties of $g$-natural contact metric structures on unit tangent sphere bundles

M. T. K. Abbassi and G. Calvaruso

Département des Mathématiques, Faculté des sciences Dhar El Mahraz, Université Sidi Mohamed Ben Abdallah, B. P. 1796, Fès-Atlas, Fès, Morocco, e-mail: mtk{_} Dipartimento di Matematica E. De Giorgi,
Università del Salento, Lecce, Italy, e-mail:

Abstract: We study some curvature properties of a three-parameter family of contact metric structures on $T_1 M$ introduced in [A]. The results we obtain generalize classical theorems on the standard contact metric structure of $T_1 M$.

[A] Abbassi, M. T. K; Calvaruso, G.: $g$-natural contact metrics on unit tangent sphere bundles. Monatsh. Math. {\bf 151} (2006), 89--109.

Keywords: unit tangent sphere bundle, $g$-natural metric, curvature tensor, contact metric geometry

Classification (MSC2000): 53C15, 53C25, 53D10

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Electronic version published on: 29 Dec 2008. This page was last modified: 28 Jan 2013.

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