Infinitesimal Automorphisms in the Tangent Bundle of a Riemannian Manifold with Horizontal Lift of Affine Connection
Ayd1n Gezer, and kursat Akbulut* Author for corresponding; e-mail address: agezer@atauni.edu.tr
Volume: Vol.34 No.2 (MAY 2007)
Research Article
DOI:
Received: 1 May 2006, Revised: -, Accepted: 19 April 2007, Published: -
Citation: Gezer A. and Akbulut K., Infinitesimal Automorphisms in the Tangent Bundle of a Riemannian Manifold with Horizontal Lift of Affine Connection, Chiang Mai Journal of Science, 2007; 34(2): 151-159.
Abstract
The main purpose of the present paper is to study conditions for a vertical infinitesimal affine transformation in the tangent bundle of a Riemannian manifold with respect to the horizontal lift of affine connection and then to apply the results obtained to the study of fibre-preserving infinitesimal affine transformation and also to investigate infinitesimal isometry in this setting.