IJPAM: Volume 96, No. 2 (2014)

MANNHEIM CURVES IN
AN $N$-DIMENSIONAL LORENTZ MANIFOLD

Dae Won Yoon
Department of Mathematics Education and RINS
Gyeongsang National University
Jinju 660-701, REPUBLIC OF KOREA


Abstract. In this paper, we give the definition of non-null Mannheim curve and null Mannheim curve in an $n$-dimensional Lorentz manifold. Furthermore, we give the condition for the non-null Mannheim partner curves and the null Mannhein partner curves.

Received: November 18, 2013

AMS Subject Classification: 53B30, 53A35

Key Words and Phrases: Lorentz manifold, Mannheim partner curves, Cartan frame

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DOI: 10.12732/ijpam.v96i2.1 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: 2014
Volume: 96
Issue: 2
Pages: 165 - 174


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