A New Approach on Helices in Pseudo-Riemannian Manifolds
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 characterizati...
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| Format: | Article |
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Hindawi Limited
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/718726 |
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doaj-9ae2ff5fb43d4456bf8b978f662792342020-11-24T20:58:59ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/718726718726A New Approach on Helices in Pseudo-Riemannian ManifoldsEvren Zıplar0Yusuf Yaylı1İsmail Gök2Department of Mathematics, Faculty of Science, ÇankırıKaratekin University, 18000 Çankırı, TurkeyDepartment of Mathematics, Faculty of Science, Ankara University, 06100 Ankara, TurkeyDepartment of Mathematics, Faculty of Science, Ankara University, 06100 Ankara, TurkeyA 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.http://dx.doi.org/10.1155/2014/718726 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Evren Zıplar Yusuf Yaylı İsmail Gök |
| spellingShingle |
Evren Zıplar Yusuf Yaylı İsmail Gök A New Approach on Helices in Pseudo-Riemannian Manifolds Abstract and Applied Analysis |
| author_facet |
Evren Zıplar Yusuf Yaylı İsmail Gök |
| author_sort |
Evren Zıplar |
| title |
A New Approach on Helices in Pseudo-Riemannian Manifolds |
| title_short |
A New Approach on Helices in Pseudo-Riemannian Manifolds |
| title_full |
A New Approach on Helices in Pseudo-Riemannian Manifolds |
| title_fullStr |
A New Approach on Helices in Pseudo-Riemannian Manifolds |
| title_full_unstemmed |
A New Approach on Helices in Pseudo-Riemannian Manifolds |
| title_sort |
new approach on helices in pseudo-riemannian manifolds |
| publisher |
Hindawi Limited |
| series |
Abstract and Applied Analysis |
| issn |
1085-3375 1687-0409 |
| publishDate |
2014-01-01 |
| description |
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. |
| url |
http://dx.doi.org/10.1155/2014/718726 |
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