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On closed timelike and spacelike ruled surfaces

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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).… Click to show full 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: spacelike ruled; ruled surfaces; closed timelike; timelike spacelike

Journal Title: Mathematical Methods in The Applied Sciences
Year Published: 2017

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