Abstract.
The present paper is devoted to study the curvature and torsion of Frenet Legendre curves in 3-dimensional normal almost paracontact metric manifolds. Moreover, in this class of manifolds, properties of non-Frenet Legendre curves (with null tangents or null normals or null binormals) are obtained. Many examples of Legendre curves are constructed.
Some of the present results are analogous to those obtained by the author in [10] for Frenet Legendre curves in 3-dimensional normal almost contact manifolds.
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Received: September 2, 2008. Accepted: November 7, 2008.
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Wełyczko, J. On Legendre Curves in 3-Dimensional Normal Almost Paracontact Metric Manifolds. Results. Math. 54, 377–387 (2009). https://doi.org/10.1007/s00025-009-0364-2
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DOI: https://doi.org/10.1007/s00025-009-0364-2