Inflection points and asymptotic lines on Lagrangean surfaces
Differential Geometry
2013-08-01 v1
Abstract
We describe the structure of the asymptotic lines near an inflection point of a Lagrangean surface, proving that in the generic situation it corresponds to two of the three possible cases when the discriminant curve has a cusp singularity. Besides being stable in general, inflection points are proved to exist on a compact Lagrangean surface whenever its Euler characteristic does not vanish.
Cite
@article{arxiv.1307.8340,
title = {Inflection points and asymptotic lines on Lagrangean surfaces},
author = {J. Basto-Gonçalves},
journal= {arXiv preprint arXiv:1307.8340},
year = {2013}
}
Comments
arXiv admin note: text overlap with arXiv:1304.2242