Solitons and affine projectively flat surfaces
Differential Geometry
2008-02-19 v1
Abstract
The aim of this paper is to give a local description of affine surfaces, whose induced Blaschke structure is projectively flat. We show that such affine surfaces with constant Gauss affine curvature and indefinite induced Blaschke metric are described by soliton equations.
Cite
@article{arxiv.0802.2325,
title = {Solitons and affine projectively flat surfaces},
author = {Wlodzimierz Jelonek},
journal= {arXiv preprint arXiv:0802.2325},
year = {2008}
}