Weingarten surfaces with moving frames -- a tribute to S.S. Chern and C.L. Terng -- and a duality result
Differential Geometry
2013-02-22 v1
Abstract
The techniques used in this paper are based on the exterior calculus of Maurer-Cartan forms, and Weingarten surfaces are used to illustrate the methods that apply to quadratic exterior equations with constant coefficients. Isothermic {\it surfaces of constant astigmatism} (non-linear Weingarten surfaces whose difference of principal curvatures is a constant) are shown to represent dual surfaces of isothermic surfaces which satisfy the relation .
Keywords
Cite
@article{arxiv.1302.5395,
title = {Weingarten surfaces with moving frames -- a tribute to S.S. Chern and C.L. Terng -- and a duality result},
author = {Magdalena Toda},
journal= {arXiv preprint arXiv:1302.5395},
year = {2013}
}