Goursat's (n+1)-Webs

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We consider the Goursat's (n+1)-webs of codimension one of two kinds on an n-dimensional manifold. They are characterized by the specific closed form equations or by two special relations between components of the torsion tensor of the web. These relations allow us to establish a connection with solutions of two systems of nonlinear second-order PDEs investigated by Goursat in 1899. The integrability conditions of some distributions invariantly associated with both kinds of Goursat's (n+1)-webs are also investigated.
LaTeX, 8 pages

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Differential Geometry, 53A60

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http://salesiana.dossiersoluciones.com/handle/123456789/60154

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0010179
 http://arxiv.org/abs/math/0010179
 Rend. Sem. Mat. Messina, Ser. II 21 (1999) no. 6 53-65

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arXiv