INFINITESIMAL AFFINE TRANSFORMATIONS IN THE TANGENT BUNDLE OF A RIEMANNIAN MANIFOLD WITH RESPECT TO THE HORIZONTAL LIFT OF AN AFFINE CONNECTION

Authors : A. GEZER, K. AKBULUT

Pages : 155-159

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Publication Date : 2006-02-01

Article Type : Research Paper

Abstract :The main purpose of the present paper is to study properties of vertical infinitesimal affine transformation in the tangent bundle of a Riemannian manifold with respect to the horizontal lift of an affine connection, and to apply the results obtained to the study of fibre-preserving infinitesimal affine transformations in this setting.
Keywords : Lift, Tangent bundle, Infinitesimal affine transformation, Fibre preserving transformation