Title of article
A note on binary quintic forms and lines of principal curvature on surfaces in
Author/Authors
Ruas، نويسنده , , M.A.S. and Tari، نويسنده , , F.، نويسنده ,
Issue Information
دوماهنامه با شماره پیاپی سال 2012
Pages
6
From page
562
To page
567
Abstract
Asymptotic curves are well defined on a smooth surface M in the Euclidean space R 5 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.
Keywords
Asymptotic curves , Binary forms , Lines of principal curvature , Self-adjoint operators
Journal title
Topology and its Applications
Serial Year
2012
Journal title
Topology and its Applications
Record number
1583217
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