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On the Geometry of B\"acklund Transformations

偏微分方程分析 2022-01-05 v2 微分几何

摘要

The geometry of an admissible B\"acklund transformation for an exterior differential system is described by an admissible Cartan connection for a geometric structure on a tower with infinite--dimensional skeleton which is the universal prolongation of a 1|1|--graded semi-simple Lie algebra.

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引用

@article{arxiv.math/0311166,
  title  = {On the Geometry of B\"acklund Transformations},
  author = {M. Palese and E. Winterroth},
  journal= {arXiv preprint arXiv:math/0311166},
  year   = {2022}
}

备注

4 pages, Proc. Int. Workshop on Nonlinear Physics (Gallipoli, 2002), v2:comment field changed