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On closed timelike and spacelike ruled surfaces
Authors:Mehmet Önder  Zehra Ekinci
Affiliation:Manisa Celal Bayar University, Faculty of Arts and Sciences, Department of Mathematics, Manisa, Muradiye, Turkey
Abstract:In this study, by using the concepts and results on spherical curves in dual Lorentzian space, we give the criterions for ruled surfaces with non‐lightlike ruling to be closed (periodic). Moreover, we obtain the necessary and sufficient conditions to guarantee that a timelike or a spacelike ruled surface is closed (periodic). Copyright © 2016 John Wiley & Sons, Ltd.
Keywords:Dual Lorentzian space  timelike and spacelike ruled surfaces  dual geodesic curvature
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