SOME PROPERTIES OF MANNHEIM CURVES IN GALILEAN AND PSEUDO-GALILEAN SPACES

Author:

Alper~Osman~\"{O}\u{G}RENM\.{I}\c{S},~Handan~\"{O}ZTEK\.{I}N,~Mahmut~ERG\"{U}T

2010 Mathematics Subject Classification:

53A35, 53B30.

Keywords:

curvature, Frenet frame, Galilean space, Mannheim curve, pseudo-Galilean space,  torsion.

Abstract:

The aim of this work is to study the Mannheim curves in 3-dimensional Galilean and pseudo-Galilean space. We obtain the characterizations between the curvatures and torsions of the Mannheim partner curves.

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Ogre-Ozte-Ergu-2012

Vol. 7 (15), 2011