Beiträge zur Algebra und GeometrieContributions to Algebra and Geometry
Vol. 50, No. 1, pp. 155-178 (2009)
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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 bundlesM. T. K. Abbassi and G. CalvarusoDépartement des Mathématiques, Faculté des sciences Dhar El Mahraz, Université Sidi Mohamed Ben Abdallah, B. P. 1796, Fès-Atlas, Fès, Morocco, e-mail: mtk{_}abbassi@Yahoo.fr. Dipartimento di Matematica E. De Giorgi,Università del Salento, Lecce, Italy, e-mail: giovanni.calvaruso@unile.it. 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 Full text of the article:
Electronic version published on: 29 Dec 2008. This page was last modified: 28 Jan 2013.
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