Generic bifurcations of framed curves in a space form and their envelopes
Differential Geometry
2010-02-03 v1
Abstract
The generic singularities and bifurcations are classified for one-parameter families of curves with frames in a space form, the Euclidean space, the elliptic space or the hyperbolic space via projective geometry. Two kinds of frames are considered, adapted frames and osculating frames, in terms of certain differential systems on flag manifolds.
Keywords
Cite
@article{arxiv.1002.0423,
title = {Generic bifurcations of framed curves in a space form and their envelopes},
author = {Goo Ishikawa},
journal= {arXiv preprint arXiv:1002.0423},
year = {2010}
}