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1. CMB 2002 (vol 45 pp. 378)
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The Local Möbius Equation and Decomposition Theorems in Riemannian Geometry A partial differential equation, the local M\"obius 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 M\"obius equation and an
additional partial differential equation.
Keywords:submersion, Möbius equation, twisted product, warped product, product Riemannian manifolds Categories:53C12, 58J99 |