A note on binary quintic forms and lines of principal curvature on surfaces in R-5

作者：Ruas M A S^*; Tari F

来源：Topology and Its Applications, 2012, 159(2): 562-567.

DOI：10.1016/j.topol.2011.09.032

• Asymptotic curves
• Binary forms
• Lines of principal curvature
• Self-adjoint operators

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.

• 出版日期2012-2-1