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2014 A New Approach on Helices in Pseudo-Riemannian Manifolds
Evren Zıplar, Yusuf Yaylı, İsmail Gök
Abstr. Appl. Anal. 2014: 1-6 (2014). DOI: 10.1155/2014/718726


A proper curve α in the n-dimensional pseudo-Riemannian manifold (M,g) is called a Vn-slant helix if the function g(Vn,X) is a nonzero constant along α, where X is a parallel vector field along α and Vn is nth Frenet frame. In this work, we study such curves and give important characterizations about them.


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Evren Zıplar. Yusuf Yaylı. İsmail Gök. "A New Approach on Helices in Pseudo-Riemannian Manifolds." Abstr. Appl. Anal. 2014 1 - 6, 2014.


Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 07022940
MathSciNet: MR3186976
Digital Object Identifier: 10.1155/2014/718726

Rights: Copyright © 2014 Hindawi

Vol.2014 • 2014
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