Geodesic
Orthogonal Line Congruences with Common Middle Surface
Journal for geometry and graphics, Tome 12 (2008) no. 2, pp. 123-132.

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Let S, S' be two orthogonal line congruences with common middle surface P(u,v). We study S and S' firstly in the case that S is isotropic and then in the case that S is the normal line congruence of P(u,v).
Classification : 53A25
Mots-clés : Orthogonal line congruences, middle surface, middle envelope 
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     title = {Orthogonal {Line} {Congruences} with {Common} {Middle} {Surface}},
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P. Koltsaki; D. Papadopoulou . Orthogonal Line Congruences with Common Middle Surface. Journal for geometry and graphics, Tome 12 (2008) no. 2, pp. 123-132. http://geodesic.mathdoc.fr/item/JGG_2008_12_2_JGG_2008_12_2_a0/