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

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We 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.
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Differential Geometry, 53A60

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http://salesiana.dossiersoluciones.com/handle/123456789/60153

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0010178
 http://arxiv.org/abs/math/0010178
 Rend. Sem. Mat. Messina, Ser. II 21 (1999) no. 6 27-32

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arXiv