Surfaces Around Closed Principal Curvature Lines, an Inverse Problem
Differential Geometry
2010-03-23 v1 Dynamical Systems
Abstract
Given a non circular spacial closed curve whose total torsion is an integer multiple of , we construct a germ of a smooth surface that contains it as a hyperbolic principal cycle.
Cite
@article{arxiv.1003.4242,
title = {Surfaces Around Closed Principal Curvature Lines, an Inverse Problem},
author = {R. Garcia and L. F. Mello and J. Sotomayor},
journal= {arXiv preprint arXiv:1003.4242},
year = {2010}
}
Comments
8 pages, 1 figure