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Web (differential geometry) : ウィキペディア英語版 | Web (differential geometry) In mathematics, a web permits an intrinsic characterization in terms of Riemannian geometry of the additive separation of variables in the Hamilton–Jacobi equation. ==Formal definition== An orthogonal web on a Riemannian manifold ''(M,g)'' is a set of ''n'' pairwise transversal and orthogonal foliations of connected submanifolds of codimension ''1'' and where ''n'' denotes the dimension of ''M''. Note that two submanifolds of codimension ''1'' are orthogonal if their normal vectors are orthogonal and in a nondefinite metric orthogonality does not imply transversality.
抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「Web (differential geometry)」の詳細全文を読む
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