Please use this identifier to cite or link to this item: https://scidar.kg.ac.rs/handle/123456789/8490
Title: A note on Lamarle formula in Minkowski 3-space
Authors: Öztürk, Ufuk
İlarslan K.
Öztürk E.
Nešović, Emilija
Issue Date: 2018
Abstract: © 2018 Tamkang University. All rights reserved. The Lamarle formula is known as a simple relation between the Gaussian curvature and the distribution parameter of a non-developable ruled surface. In this paper, we obtain the Lamarle formula of a non-developable ruled surface with pseudo null base curve and null director vector field in Minkowski 3-space. We also obtain the corresponding striction line and distribution parameter of such surface. We prove that there is no Lamarle formula when the director vector field is spacelike and its derivative is null, because the ruled surface in that case is a lightlike plane. Finally, we give some examples.
URI: https://scidar.kg.ac.rs/handle/123456789/8490
Type: article
DOI: 10.5556/j.tkjm.49.2018.2653
ISSN: 0049-2930
SCOPUS: 2-s2.0-85056133420
Appears in Collections:Faculty of Science, Kragujevac

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