A representation formula for indefinite improper affine spheres
Differential Geometry
2008-02-01 v1
Abstract
We construct a new representation formula for indefinite improper affine spheres in terms of two para-holomorphic functions and study singularities which appear in this representation formula. As a result, it follows that cuspidal cross caps never appear as the singularities on indefinite improper affine spheres and so on. Comparison with other representation formulae are also studied.
Cite
@article{arxiv.0801.4832,
title = {A representation formula for indefinite improper affine spheres},
author = {Daisuke Nakajo},
journal= {arXiv preprint arXiv:0801.4832},
year = {2008}
}