Mannheim Curves in Nonflat 3-Dimensional Space Forms
Joint Authors
Pei, Donghe
Zhao, Wenjing
Cao, Xinyu
Source
Advances in Mathematical Physics
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-04-20
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
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 condition is that a linear relationship with constant coefficients will exist between the curvature and the torsion of the given original curves.
In the case of null curve, we reveal that there are no null Mannheim curves in the 3-dimensional de Sitter space.
American Psychological Association (APA)
Zhao, Wenjing& Pei, Donghe& Cao, Xinyu. 2015. Mannheim Curves in Nonflat 3-Dimensional Space Forms. Advances in Mathematical Physics،Vol. 2015, no. 2015, pp.1-9.
https://search.emarefa.net/detail/BIM-1052960
Modern Language Association (MLA)
Zhao, Wenjing…[et al.]. Mannheim Curves in Nonflat 3-Dimensional Space Forms. Advances in Mathematical Physics No. 2015 (2015), pp.1-9.
https://search.emarefa.net/detail/BIM-1052960
American Medical Association (AMA)
Zhao, Wenjing& Pei, Donghe& Cao, Xinyu. Mannheim Curves in Nonflat 3-Dimensional Space Forms. Advances in Mathematical Physics. 2015. Vol. 2015, no. 2015, pp.1-9.
https://search.emarefa.net/detail/BIM-1052960
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1052960