Article

# Lorentzian Helicoids in Three Dimensional Heisenberg Group

Thai Journal of Mathematics Volume 01/2010; 8(1):129-140.

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**ABSTRACT:**This article outlines what is known to the author about the Riemannian geometry of a Lie group which has been provided with a Riemannian metric invariant under left translation.Advances in Mathematics 09/1976; 21(3-21):293-329. · 1.35 Impact Factor - [Show abstract] [Hide abstract]

**ABSTRACT:**We study fundamental properties of spacelike surfaces with harmonic inverse mean curvature in Lorentzian space forms. Further we classify spacelike Bonnet surfaces with constant curvature in Lorentzian space forms. - [Show abstract] [Hide abstract]

**ABSTRACT:**Some characterizations of the Euclidean rectifying curves, i.e. the curves in E3 which have a property that their position vector always lies in their rectifying plane, are given in (3). In this paper, we charac- terize non-null and null rectifying curves, lying fully in the Minkowski 3-space E3 1 . Also, in considering a causal character of a curve we give some parametrizations of rectifying curves.

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