Journal of applied mathematics & informatics
- Volume 24 Issue 1_2
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- Pages.541-545
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- 2007
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- 2734-1194(pISSN)
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- 2234-8417(eISSN)
FIBRED RIEMANNIAN SPACE AND INFINITESIMAL TRANSFORMATION
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Kim, Byung-Hak
(Department of Mathematics, Kyung Hee University)
;
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Choi, Jin-Hyuk
(College of Liberal Arts, Kyung Hee University)
- Published : 2007.05.31
Abstract
In this paper, we study the infinitesimal transformation on the fibred Riemannian space. The conharmonic curvature tensor is invariant under the conharmonic transformation. We have proved that the conharmonically flat fibred Riemannian space with totally geodesic fibre is locally the Riemannian product of the base space and a fibre.
Keywords
- Fibred Riemannian space;
- conharmonic transformation;
- conharmonically flat space;
- Riemannian product space