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2014 On Pseudospherical Smarandache Curves in Minkowski 3-Space
Esra Betul Koc Ozturk, Ufuk Ozturk, Kazim Ilarslan, Emilija Nešović
J. Appl. Math. 2014: 1-14 (2014). DOI: 10.1155/2014/404521

Abstract

In this paper we define nonnull and null pseudospherical Smarandache curves according to the Sabban frame of a spacelike curve lying on pseudosphere in Minkowski 3-space. We obtain the geodesic curvature and the expressions for the Sabban frame’s vectors of spacelike and timelike pseudospherical Smarandache curves. We also prove that if the pseudospherical null straight lines are the Smarandache curves of a spacelike pseudospherical curve α, then α has constant geodesic curvature. Finally, we give some examples of pseudospherical Smarandache curves.

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Esra Betul Koc Ozturk. Ufuk Ozturk. Kazim Ilarslan. Emilija Nešović. "On Pseudospherical Smarandache Curves in Minkowski 3-Space." J. Appl. Math. 2014 1 - 14, 2014. https://doi.org/10.1155/2014/404521

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 1305.53015
Digital Object Identifier: 10.1155/2014/404521

Rights: Copyright © 2014 Hindawi

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