# Difference between revisions of "Asymptotic net"

From Encyclopedia of Mathematics

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A net on a surface formed by two families of asymptotic lines (cf. [[Asymptotic line|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|minimal surface]]. | A net on a surface formed by two families of asymptotic lines (cf. [[Asymptotic line|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|minimal surface]]. | ||

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## Latest revision as of 12:39, 2 November 2014

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