IJPAM: Volume 86, No. 3 (2013)

LC HELIX ON HYPERSURFACES IN
MINKOWSKI SPACE E1n+1

Siddika Özkaldi Karakuş1, Ali Şenol2, Raheleh Ghadami3, Yusuf Yayli4
1Department of Mathematics
Faculty of Science
University of Bilecik Şeyh Edebali
Bilecik, TURKEY
2Department of Mathematics
Faculty of Science
University of Cankiri Karatekin
Cankiri, TURKEY
3,4Department of Mathematics
Faculty of Science
University of Ankara
Tandoğan, Ankara, TURKEY


Abstract. In this paper we give the definition of a generalized LC helix for a non-null curve lying on a hypersurface in E1n+1 by using the Levi Civita's notion of parallel vector field. Also we give some basic properties and characterization of generalized LC helices.

Received: February 10, 2013

AMS Subject Classification: 53C40, 53C50, 53B30

Key Words and Phrases: LC helix, hypersurface, Minkowski space

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DOI: 10.12732/ijpam.v86i3.2 How to cite this paper?
Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 86
Issue: 3