View source for Transport net

A conjugate [[Chebyshev net|Chebyshev net]] on a two-dimensional surface in an affine (or Euclidean) space. A surface carrying a transport net is called a [[Translation surface|translation surface]].

For transport nets one has Lie's theorem: If a surface carries two transport nets, then the tangents to the lines in these nets intersect on a non-singular plane curve of order four [[#References|[1]]].

====References====
<table><TR><TD valign="top">[1]</TD> <TD valign="top">  V.I. Shulikovskii,   "Classical differential geometry in a tensor setting" , Moscow  (1963)  (In Russian)</TD></TR></table>



====Comments====


====References====
<table><TR><TD valign="top">[a1]</TD> <TD valign="top">  W. Blaschke,   "Vorlesungen über Differentialgeometrie und geometrische Grundlagen von Einsteins Relativitätstheorie. Affine Differentialgeometrie" , '''2''' , Springer  (1923)</TD></TR></table>