Mannheim Curves in Nonflat 3-Dimensional Space Forms

We consider the Mannheim curves in nonflat 3-dimensional space forms (Riemannian or Lorentzian) and we give the concept of Mannheim curves. In addition, we investigate the properties of nonnull Mannheim curves and their partner curves. We come to the conclusion that a necessary and sufficient condit...

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Bibliographic Details
Main Authors: Wenjing Zhao, Donghe Pei, Xinyu Cao
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2015/319046