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Infinitesimal Automorphisms in the Tangent Bundle of a Riemannian Manifold with Horizontal Lift of Affine Connection


Paper Type 
Contributed Paper
Title 
Infinitesimal Automorphisms in the Tangent Bundle of a Riemannian Manifold with Horizontal Lift of Affine Connection
Author 
Ayd1n Gezer, and kursat Akbulut
Email 
agezer@atauni.edu.tr
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.
Start & End Page 
151 - 159
Received Date 
2006-05-01
Revised Date 
Accepted Date 
2007-04-19
Full Text 
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Keyword 
lift, tangent bundle, infinitesimal affine transformation, fibre-preserving transformation, infinitesimal isometry
Volume 
Vol.34 No.2 (MAY 2007)
DOI 
Citation 
Gezer A. and Akbulut K., Infinitesimal Automorphisms in the Tangent Bundle of a Riemannian Manifold with Horizontal Lift of Affine Connection, Chiang Mai J. Sci., 2007; 34(2): 151-159.
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