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g-natural symmetries on tangent bundles

Authors:	Mohamed Tahar Kadaoui Abbassi Noura Amri Giovanni Calvaruso

Institution:	1. Département de Mathématiques, Faculté des sciences Dhar El Mahraz, Université Sidi Mohamed Ben Abdallah, B. P. 1796, Fès-Atlas, Fès, Morocco;2. Dipartimento di Matematica e Fisica “Ennio De Giorgi”, University of Salento, Prov. Lecce-Arnesano, Lecce, 73100 Italy

Abstract:	The study of symmetries is a well known research topic in differential geometry with relevant physical interpretations. Given a Riemannian manifold $(M, g)$ , we consider pseudo-Riemannian g-natural metrics G on its tangent bundle $T M$ and characterize conformal, homothetic and Killing vector fields of $(T M, G)$ obtained from natural lifts of vector fields of M.

Keywords:	conformal vector fields g-natural metrics killing vector fields tangent bundle