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Asymptotic net

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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://www.encyclopediaofmath.org/index.php?title=Asymptotic_net&oldid=34220
This article was adapted from an original article by V.T. Bazylev (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article