# Asymptotic net

From Encyclopedia of Mathematics

A net on a surface formed by two families of asymptotic lines (cf. Asymptotic line). An asymptotic net only exists on non-developable surfaces of non-positive curvature. The orthogonality of an asymptotic net characterizes a minimal surface.

**How to Cite This Entry:**

Asymptotic net.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Asymptotic_net&oldid=18919

This article was adapted from an original article by V.T. Bazylev (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article