Multidimensional (n+1)-Webs with Reduct Reducible Subwebs

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dc.creatorGoldberg, Vladislav V.
dc.date2000-10-17
dc.date.accessioned2026-07-07T04:38:06Z
dc.date.available2026-07-07T04:38:06Z
dc.descriptionWe find three characterizations for a multidimensional (n+1)-web W possessing a reduct reducible subweb: its closed form equations, the integrability of an invariant distribution associated with W, and the relations between the components of its torsion tensor. In the case of codimension one, the latter criterion establishes a relation with solutions of a system of nonlinear second-order PDEs. Some particular cases of this system were considered by Goursat in 1899.
dc.descriptionLaTeX, 4 pages
dc.identifierhttps://arxiv.org/abs/math/0010178
dc.identifierhttp://arxiv.org/abs/math/0010178
dc.identifierRend. Sem. Mat. Messina, Ser. II 21 (1999) no. 6 27-32
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60153
dc.subjectDifferential Geometry
dc.subject53A60
dc.titleMultidimensional (n+1)-Webs with Reduct Reducible Subwebs
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