Inextensible Flows of Curves on Lightlike Surfaces

Zühal Küçükarslan Yüzbaşı and Dae Won Yoon
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Zühal Küçükarslan Yüzbaşı: Department of Mathematics, Fırat University, Elazig 23119, Turkey
Dae Won Yoon: Department of Mathematics Education and RINS, Gyeongsang National University, Jinju 52828, Korea

Mathematics, 2018, vol. 6, issue 11, 1-10

Abstract: In this paper, we study inextensible flows of a curve on a lightlike surface in Minkowski three-space and give a necessary and sufficient condition for inextensible flows of the curve as a partial differential equation involving the curvatures of the curve on a lightlike surface. Finally, we classify lightlike ruled surfaces in Minkowski three-space and characterize an inextensible evolution of a lightlike curve on a lightlike tangent developable surface.

Keywords: inextensible flow; lightlike surface; ruled surface; Darboux frame (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
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