Bull. Korean Math. Soc. 2013; 50(4): 1099-1108
Printed July 1, 2013
https://doi.org/10.4134/BKMS.2013.50.4.1099
Copyright © The Korean Mathematical Society.
Jin Ho Choi, Tae Ho Kang, and Young Ho Kim
University of Ulsan, University of Ulsan, Kyungpook National University
We define the Mannheim curve in a 3-dimensional Riemannian manifold, which is a generalization of the Mannheim curve in Euclidean space. In particular, we study the Mannheim curves and their partner curves in 3-dimensional space forms.
Keywords: Mannheim curves, Mannheim partner curves, space form
MSC numbers: Primary 53A04, 53A35
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