Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
권호 표지
DOI QR코드

DOI QR Code

MANNHEIM CURVES IN 3-DIMENSIONAL SPACE FORMS

  • Choi, Jin Ho (Department of Mathematics University of Ulsan) ;
  • Kang, Tae Ho (Department of Mathematics University of Ulsan) ;
  • Kim, Young Ho (Department of Mathematics Kyungpook National University)
  • Received : 2012.03.30
  • Published : 2013.07.31
Download PDF
⟨ Previous Next ⟩

Abstract

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

References

  1. J. H. Choi, T. H. Kang, and Y. H. Kim, Bertrand curves in 3-dimensional space forms, to appear in Applied Mathematics and Computation.
  2. H. Liu and F. Wang, Mannheim partner curves in 3-space, J. Geom. 88 (2008), no. 1-2, 120-126. https://doi.org/10.1007/s00022-007-1949-0

Cited by

  1. On Generalized Timelike Mannheim Curves in Minkowski Space-time vol.13, pp.1, 2015, https://doi.org/10.1080/1726037X.2015.1035043
  2. On Generalized Spacelike Mannheim Curves in Minkowski Space–Time vol.86, pp.2, 2016, https://doi.org/10.1007/s40010-015-0257-6
  3. Mannheim Curves in Nonflat 3-Dimensional Space Forms vol.2015, 2015, https://doi.org/10.1155/2015/319046