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Bianchi surfaces whose asymptotic lines are geodesic parallels
-
Güler Gürpınar Arsan
and
Abdülkadir Özdeger
Published/Copyright:
January 14, 2015
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
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Articles in the same Issue
- Frontmatter
- Bianchi surfaces whose asymptotic lines are geodesic parallels
- Results on coupled Ricci and harmonic map flows
- Mostow’s lattices and cone metrics on the sphere
- Monads for framed sheaves on Hirzebruch surfaces
- The topology of the minimal regular covers of the Archimedean tessellations
- Extremal cross-polytopes and Gaussian vectors
- Displacing (Lagrangian) submanifolds in the manifolds of full flags
- The harmonic mean measure of symmetry for convex bodies
- Geodesic vectors and subalgebras in two-step nilpotent metric Lie algebras
- The periods of the generalized Jacobian of a complex elliptic curve
Keywords for this article
Bianchi surface;
asymptotic line;
geodesic parallel;
geodesic ellipse;
geodesic hyperbola;
helicoidal surface
Articles in the same Issue
- Frontmatter
- Bianchi surfaces whose asymptotic lines are geodesic parallels
- Results on coupled Ricci and harmonic map flows
- Mostow’s lattices and cone metrics on the sphere
- Monads for framed sheaves on Hirzebruch surfaces
- The topology of the minimal regular covers of the Archimedean tessellations
- Extremal cross-polytopes and Gaussian vectors
- Displacing (Lagrangian) submanifolds in the manifolds of full flags
- The harmonic mean measure of symmetry for convex bodies
- Geodesic vectors and subalgebras in two-step nilpotent metric Lie algebras
- The periods of the generalized Jacobian of a complex elliptic curve
