- Hacettepe Journal of Mathematics and Statistics
- Vol: 35 Issue: 2
- INFINITESIMAL AFFINE TRANSFORMATIONS IN THE TANGENT BUNDLE OF A RIEMANNIAN MANIFOLD WITH RESPECT TO ...
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
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