On Conformal Transformations and Fibred Riemannian Spaces

Use this link to cite this item : http://doi.org/10.15027/780

ID	780
file	KJ00000197484.pdf 184 KB
title alternative	共形変換とファイバーリーマン空間について
creator	Agaoka, Yoshio Kim, Byung Hak
subject	Conformal transformation fibred Riemannian space Lie derivative
NDC	Mathematics
abstract	We prove that a conformal transformation φ : (M, g^)→(M, g) with Ric_g^=Ric_g preserves Riemannian curvature tensors. Moreover, in a fibred Riemannian space, if any horizontal mapping covering is a Ricciinvariant conformal transformation and the total space is Einstein, then each fibre is a totally geodesic submanifold of the total space.
journal title	Memoirs of the Faculty of Integrated Arts and Sciences, Hiroshima University. IV, Science reports
volume	Volume 27
start page	129
end page	133
date of issued	2001-12
publisher	広島大学総合科学部
contributor	国立情報学研究所
date of created	2006-03-21
issn	1340-8364
ncid	AN10435936
SelfDOI	10.15027/780
language	eng
nii type	Departmental Bulletin Paper
HU type	Departmental Bulletin Papers
DCMI type	text
format	application/pdf
text version	publisher
department	Graduate School of Integrated Arts and Sciences
他の一覧	HU Journals Memoirs of the Faculty of Integrated Arts and Sciences, Hiroshima University. IV, Science reports Volume 27 -- On Conformal Transformations and Fibred Riemannian Spaces

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