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The Local Möbius Equation and Decomposition Theorems in Riemannian Geometry
Published online by Cambridge University Press: 20 November 2018
Abstract
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.
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- Copyright © Canadian Mathematical Society 2002
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