A New Approach on Helices in Pseudo-Riemannian Manifolds. (19th March 2014)

• Record Type: Journal Article
• Authors: Zıplar, Evren; Yaylı, Yusuf; Gök, İsmail
• Other Names: Zheng Sining Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2014(2014)
• Publication Date: 2014-03-19
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2014/718726
• Languages: English
• ISSNs: 1085-3375

Abstract

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