A Note On Lamarle Formula Inminkowski 3-Space
Citation
Nesovic, Emilija & Ilarslan, Kazim & Ozturk, Ufuk & Öztürk, Esra Betül. (2018). A note on Lamarle formula in Minkowski 3-space. Tamkang Journal of Mathematics. 49. 291-300.Abstract
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 inMinkowski 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.
Source
Tamkang Journal Of MathematicsVolume
49Issue
4Collections
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