Projective classification of jets of surfaces in 3-space
Differential Geometry
2016-09-28 v3 Geometric Topology
Abstract
We present a local classification of smooth projective surfaces in 3-space via projective transformations in accordance with singularity types of central projections up to codimension 4. We also discuss relations between our classification of Monge forms and bifurcations of parabolic curves and flecnodal curves.
Keywords
Cite
@article{arxiv.1504.06499,
title = {Projective classification of jets of surfaces in 3-space},
author = {Hiroaki Sano and Yutaro Kabata and Jorge Luiz Deolindo Silva and Toru Ohmoto},
journal= {arXiv preprint arXiv:1504.06499},
year = {2016}
}
Comments
21 pages, 1 figure. Some typos were corrected, and subsection 4.3 was added