# FINITE TYPE CURVE IN 3-DIMENSIONAL SASAKIAN MANIFOLD

• Camci, Cetin (DEPARTMENTS OF MATHEMATICS ONSEKIZ MART UNIVERSITY) ;
• Hacisalihoglu, H. Hilmi (DEPARTMENTS OF MATHEMATICS FACULTY OF SCIENCE BILECIK UNIVERSITY)
• Published : 2010.11.30
• 53 19

#### Abstract

We study finite type curve in $R^3$(-3) which lies in a cylinder $N^2$(c). Baikousis and Blair proved that a Legendre curve in $R^3$(-3) of constant curvature lies in cylinder $N^2$(c) and is a 1-type curve, conversely, a 1-type Legendre curve is of constant curvature. In this paper, we will prove that a 1-type curve lying in a cylinder $N^2$(c) has a constant curvature. Furthermore we will prove that a curve in $R^3$(-3) which lies in a cylinder $N^2$(c) is finite type if and only if the curve is 1-type.

#### Keywords

Sasakian Manifold;Legendre curve;finite type curve

#### References

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#### Cited by

1. On ruled surface in 3-dimensional almost contact metric manifold vol.14, pp.05, 2017, https://doi.org/10.1142/S0219887817500761