asymptotic directions

asymptotic directions

[‚ā·sim′täd·ik də′rek·shənz]
(mathematics)
For a hyperbolic point on a surface, the two directions in which the normal curvature vanishes; equivalently, the directions of the asymptotic curves passing through the point.
References in periodicals archive ?
From the definitions of the conjugate vectors, the asymptotic directions and the equation II*(X; Y) = II(X; Y), we say the conjugate vectors and asymptotic directions in M are also the conjugate vectors and asymptotic directions in M*.
iii) Asymptotic directions in M are also the asymptotic directions in M*.
P]) = 0, then XP is called the asymptotic direction.