The local Mobius equation and decomposition theorems in Riemannian geometry
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Date
2002
Journal Title
Journal ISSN
Volume Title
Publisher
Canadian Mathematical Soc
Abstract
A partial differential equation, the local Mobius 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 Mobius equation and an additional partial differential equation.
Description
Garcia-Rio, Eduardo/0000-0003-1195-1664
Keywords
submersion, Mobius equation, twisted product, warped product, product Riemannian manifolds
Turkish CoHE Thesis Center URL
Citation
1
WoS Q
Q3
Scopus Q
Source
Volume
45
Issue
3
Start Page
378
End Page
387