Multidimensional (n+1)-Webs with Reduct Reducible Subwebs
微分几何
2007-05-23 v1
摘要
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.
引用
@article{arxiv.math/0010178,
title = {Multidimensional (n+1)-Webs with Reduct Reducible Subwebs},
author = {Vladislav V. Goldberg},
journal= {arXiv preprint arXiv:math/0010178},
year = {2007}
}
备注
LaTeX, 4 pages