Publication:
Bianchi surfaces whose asymptotic lines are geodesic parallels

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Walter de Gruyter GmbH

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Abstract

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.

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Advances in Geometry

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1615-715X

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CLOSED

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geodesic ellipse, Geodesic Hyperbola, asymptotic line, Geodesic Parallel, Other special differential geometries, Asymptotic Line, Bianchi surface, geodesic parallel, geodesic hyperbola, Surfaces in Euclidean and related spaces, Helicoidal Surface, helicoidal surface, Geodesic Ellipse, Conformal differential geometry

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