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Abstract
It is proved that every Bianchi surface in E3 of class C4 whose asymptotic lines are geodesic parallels is either a helicoid or a surface of revolution.
Keywords : Bianchi surface; asymptotic line; geodesic parallel; geodesic ellipse; geodesic hyperbola; helicoidal surface
Received: 2012-10-11
Published Online: 2015-1-14
Published in Print: 2015-1-1
© 2015 by Walter de Gruyter Berlin/Boston