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A note on Lamarle formula in Minkowski 3-space
Authors
İlarslan K.
Emilija Nešović
Öztürk E.
Ufuk Öztürk
Publication date
1 January 2018
Publisher
'Tamkang Journal of Mathematics'
Doi
Cite
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
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Last time updated on 22/12/2022