Namespaces
Variants
Actions

Bonnet net

From Encyclopedia of Mathematics
Revision as of 10:59, 29 May 2020 by Ulf Rehmann (talk | contribs) (tex encoded by computer)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search


An isothermal net whose lines have constant geodesic curvature. The square of the line element in the parameters of this net is:

$$ ds ^ {2} = \frac{du ^ {2} +dv ^ {2} }{(U+V) ^ {2} } , $$

where $ U = U(u), V = V(v) $. Studied by O. Bonnet in 1848.

How to Cite This Entry:
Bonnet net. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Bonnet_net&oldid=14588
This article was adapted from an original article by A.B. Ivanov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article