On slant curves in Sasakian 3-manifolds

By Jong Taek Cho, J. Inoguchi, Ji-Eun Lee. Bulletin of the Australian Mathematical Society, 2006

83 citations recorded by the source corpus.

A classical theorem by Lancret says that a curve in Euclidean 3-space is of constant slope if and only if its ratio of curvature and torsion is constant. In this paper we study Lancret type problems for curves in Sasakian 3-manifolds.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/add6be67abc0b169800d002a6bd2faa2bf7323ce

How researchers see this paper

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In Applied Mathematics

1. Ji-Eun Lee
2. Jong Taek Cho

In Geometry and Topology

1. Ji-Eun Lee
2. Jong Taek Cho

Citations in the corpus

• SLANT CURVES IN CONTACT PSEUDO-HERMITIAN 3-MANIFOLDS (2008, background): “Generalizing a Legendre curve in a three-dimensional contact metric manifold, we consider a slant curve whose tangent vector field has constant angle with the characteristic direction ξ (see [9]).”