Darboux transformations for twisted so(p,q) system and local isometric immersion of space forms
solv-int
2009-10-31 v1 Exactly Solvable and Integrable Systems
Abstract
For the n-dimensional integrable system with a twisted so(p,q) reduction, Darboux transformations given by Darboux matrices of degree 2 are constructed explicitly. These Darboux transformations are applied to the local isometric immersion of space forms with flat normal bundle and linearly independent curvature normals to give the explicit expression of the position vector. Some examples are given from the trivial solutions and standard imbedding T^n\to R^{2n}.
Keywords
Cite
@article{arxiv.solv-int/9808006,
title = {Darboux transformations for twisted so(p,q) system and local isometric immersion of space forms},
author = {Zixiang Zhou},
journal= {arXiv preprint arXiv:solv-int/9808006},
year = {2009}
}
Comments
LaTeX, 21 pages, 5 Postscript figures, to appear in Inverse Problems (1998)