Chebyshev net

A net in which the tangent vectors to each family of lines can be parallel displaced along the lines of the other family. A Chebyshev net of the first kind is a net such that, for each , the directions of the distribution are parallel in the connection along any integral curve of any of the other distributions defined by this net. A Chebyshev net of the second kind is a net () such that for each , the subspaces are parallel in the connection along the integral curves of the distribution .

Introduced by P.L. Chebyshev (1878).

References

[1]	P.L. Chebyshev, , Collected works , 5 , Moscow-Leningrad (1951) pp. 165–170 (In Russian)