Bonnet net

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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:
This article was adapted from an original article by A.B. Ivanov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article