Local geometry of surfaces in $\mathbf R^4$
Differential Geometry
2013-04-09 v1
Abstract
The indicatrix or curvature ellipse and the characteristic curve of a surface in are presented, as well as the projective duality connecting them. The characterisation of points in the surfaces as elliptic, parabolic and hyperbolic points, and the inflection points, are also discussed.
Cite
@article{arxiv.1304.2242,
title = {Local geometry of surfaces in $\mathbf R^4$},
author = {J. Basto-Gonçalves},
journal= {arXiv preprint arXiv:1304.2242},
year = {2013}
}