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The Local Möbius Equation and Decomposition Theorems in Riemannian Geometry

Published online by Cambridge University Press:  20 November 2018

Manuel Fernández-López ,
Eduardo García-Río  and
Demir N. Kupeli
Manuel Fernández-López
Affiliation:
Department of Geometry and Topology Faculty of Mathematics University of Santiago de Compostela 15782 Santiago de Compostela Spain, e-mail: manufl@usc.es
Eduardo García-Río
Affiliation:
Department of Geometry and Topology Faculty of Mathematics University of Santiago de Compostela 15782 Santiago de Compostela Spain, e-mail: xtedugr@usc.es
Demir N. Kupeli
Affiliation:
Department of Mathematics Atιlιm University İncek 06836 Ankara Turkey email: dnkupeli@superonline.com
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Abstract

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A partial differential equation, the local Möbius equation, is introduced in Riemannian geometry which completely characterizes the local twisted product structure of a Riemannian manifold. Also the characterizations of warped product and product structures of Riemannian manifolds are made by the local Möbius equation and an additional partial differential equation.

Keywords

53C1258J99submersionMöbius equationtwisted productwarped productproduct Riemannian manifolds
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 45 , Issue 3 , 01 September 2002 , pp. 378 - 387
Copyright
Copyright © Canadian Mathematical Society 2002

References

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