| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4659836 | Topology and its Applications | 2012 | 6 Pages |
Abstract
Asymptotic curves are well defined on a smooth surface M in the Euclidean space R5 and are solutions of a binary quintic differential equation. We propose in this paper a definition of the lines of principal curvature on M that uses covariants of binary quintic forms as well as the metric structure on M.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
