English

Grassmann Geometries and Integrable Systems

Differential Geometry 2008-04-14 v1

Abstract

We describe how the loop group maps corresponding to special submanifolds associated to integrable systems may be thought of as certain Grassmann submanifolds of infinite dimensional homogeneous spaces. In general, the associated families of special submanifolds are certain Grassmann submanifolds. An example is given from recent work of the author.

Keywords

Cite

@article{arxiv.0804.1830,
  title  = {Grassmann Geometries and Integrable Systems},
  author = {David Brander},
  journal= {arXiv preprint arXiv:0804.1830},
  year   = {2008}
}

Comments

11 pages

R2 v1 2026-06-21T10:29:51.418Z