Journal for Geometry and Graphics 12 (2008), No. 2, 123--132
Copyright Heldermann Verlag 2008
Orthogonal Line Congruences with Common Middle Surface
Pelagia Koltsaki
Dept. of Mathematics, Faculty of Science, Aristotle University, 54124 Thessaloniki, Greece
kopel@math.auth.gr
Despina Papadopoulou
Dept. of Mathematics, Faculty of Science, Aristotle University, 54124 Thessaloniki, Greece
papdes@math.auth.gr
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).
Keywords: Orthogonal line congruences, middle surface, middle envelope.
MSC: 53A25
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