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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.
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Start & End Page |
151 - 159 |
Received Date |
2006-05-01 |
Revised Date |
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Accepted Date |
2007-04-19 |
Full Text |
Download |
Keyword |
lift, tangent bundle, infinitesimal affine transformation, fibre-preserving transformation, infinitesimal isometry |
Volume |
Vol.34 No.2 (MAY 2007) |
DOI |
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SDGs |
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