Fernández-López, MGarcía-Río, EKupeli, DN2024-07-052024-07-05200210008-439510.4153/CMB-2002-040-62-s2.0-0036762420https://doi.org/10.4153/CMB-2002-040-6https://hdl.handle.net/20.500.14411/1150Garcia-Rio, Eduardo/0000-0003-1195-1664A 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.eninfo:eu-repo/semantics/openAccesssubmersionMobius equationtwisted productwarped productproduct Riemannian manifoldsThe local Mobius equation and decomposition theorems in Riemannian geometryArticleQ3453378387WOS:000179273500006