English

Degenerate Bianchi transformations for three-dimensional pseudo-spherical submanifolds in $\mathbb R^5$

Differential Geometry 2020-02-19 v2

Abstract

Three-dimensional pseudo-spherical submanifolds in R5\mathbb R^5, whose Bianchi transformations are degenerate of rank 2, are studied. A complete description of such submanifolds is obtained in the case where the Bianchi transformations are holonomically degenerate.

Cite

@article{arxiv.2002.04882,
  title  = {Degenerate Bianchi transformations for three-dimensional pseudo-spherical submanifolds in $\mathbb R^5$},
  author = {A. A. Borisenko and V. O. Gorkavyy},
  journal= {arXiv preprint arXiv:2002.04882},
  year   = {2020}
}
R2 v1 2026-06-23T13:39:21.208Z