Geodesic
The Local Möbius Equation and Decomposition Theorems in Riemannian Geometry
Canadian mathematical bulletin, Tome 45 (2002) no. 3, pp. 378-387

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DOI

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.
DOI : 10.4153/CMB-2002-040-6
Mots-clés : 53C12, 58J99, submersion, Möbius equation, twisted product, warped product, product Riemannian manifolds 
Fernández-López, Manuel; García-Río, Eduardo; Kupeli, Demir N. The Local Möbius Equation and Decomposition Theorems in Riemannian Geometry. Canadian mathematical bulletin, Tome 45 (2002) no. 3, pp. 378-387. doi: 10.4153/CMB-2002-040-6
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     author = {Fern\'andez-L\'opez, Manuel and Garc{\'\i}a-R{\'\i}o, Eduardo and Kupeli, Demir N.},
     title = {The {Local} {M\"obius} {Equation} and {Decomposition} {Theorems} in {Riemannian} {Geometry}},
     journal = {Canadian mathematical bulletin},
     pages = {378--387},
     year = {2002},
     volume = {45},
     number = {3},
     doi = {10.4153/CMB-2002-040-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2002-040-6/}
}
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