FINITE TYPE CURVE IN 3-DIMENSIONAL SASAKIAN MANIFOLD

- Journal title : Bulletin of the Korean Mathematical Society
- Volume 47, Issue 6, 2010, pp.1163-1170
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/BKMS.2010.47.6.1163

Title & Authors

FINITE TYPE CURVE IN 3-DIMENSIONAL SASAKIAN MANIFOLD

Camci, Cetin; Hacisalihoglu, H. Hilmi;

Camci, Cetin; Hacisalihoglu, H. Hilmi;

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

References

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