## Abstract and Applied Analysis

### A New Approach on Helices in Pseudo-Riemannian Manifolds

#### Abstract

A proper curve $\alpha$ 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 $\alpha$, where $X$ is a  parallel vector field along $\alpha$ and ${V}_{n}$ is $n$th Frenet frame. In this work, we study such curves and give important characterizations about them.

#### Article information

Source
Abstr. Appl. Anal., Volume 2014 (2014), Article ID 718726, 6 pages.

Dates
First available in Project Euclid: 2 October 2014

https://projecteuclid.org/euclid.aaa/1412273253

Digital Object Identifier
doi:10.1155/2014/718726

Mathematical Reviews number (MathSciNet)
MR3186976

Zentralblatt MATH identifier
07022940

#### Citation

Zıplar, Evren; Yaylı, Yusuf; Gök, İsmail. A New Approach on Helices in Pseudo-Riemannian Manifolds. Abstr. Appl. Anal. 2014 (2014), Article ID 718726, 6 pages. doi:10.1155/2014/718726. https://projecteuclid.org/euclid.aaa/1412273253

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