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FINITE TYPE CURVE IN 3-DIMENSIONAL SASAKIAN MANIFOLD
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 Title & Authors
FINITE TYPE CURVE IN 3-DIMENSIONAL SASAKIAN MANIFOLD
Camci, Cetin; Hacisalihoglu, H. Hilmi;
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 Abstract
We study finite type curve in (-3) which lies in a cylinder (c). Baikousis and Blair proved that a Legendre curve in (-3) of constant curvature lies in cylinder (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 (c) has a constant curvature. Furthermore we will prove that a curve in (-3) which lies in a cylinder (c) is finite type if and only if the curve is 1-type.
 Keywords
Sasakian Manifold;Legendre curve;finite type curve;
 Language
English
 Cited by
1.
On ruled surface in 3-dimensional almost contact metric manifold, International Journal of Geometric Methods in Modern Physics, 2017, 14, 05, 1750076  crossref(new windwow)
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