Infinitesimal affine transformations in a tangent bundle of a riemannian manifold with affine connection sΔ=cΔ+vH
The main purpose of the present paper is first of all to study conditions for a vertical infinitesimal affine transformation with s c v∇ = ∇ + H in the tangent bundle of a Riemannian manifold and then to apply the results to the study of fibre-preserving infinitesimal affine transformation with s...
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| Main Authors: | , |
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| Format: | Article |
| Published: |
Penerbit ukm
2006
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| Online Access: | http://journalarticle.ukm.my/1818/ http://www.ukm.my/~ppsmfst/jqma/index.html |
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| Institution: | Universiti Kebangsaan Malaysia |
| Summary: | The main purpose of the present paper is first of all to study conditions for a vertical infinitesimal
affine transformation with s c v∇ = ∇ + H in the tangent bundle of a Riemannian manifold and
then to apply the results to the study of fibre-preserving infinitesimal affine transformation
with s∇ |
|---|