Characterizing a surface by invariants
Differential Geometry
2019-02-21 v2
Abstract
Canonical principal parameters are introduced for surfaces in without umbilical points. It is proved that in these parameters the surface is determined (up to position in space) by a pair of invariants satisfying a partial differential equation equivalent to the Gauss equation. As such a pair of invariants we may use the principal curvatures or the Gauss and the mean curvature.
Cite
@article{arxiv.1902.02254,
title = {Characterizing a surface by invariants},
author = {Ognian Kassabov},
journal= {arXiv preprint arXiv:1902.02254},
year = {2019}
}
Comments
8 pages