[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.2013.50.4.1099

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)

Publication Information

Bulletin of the Korean Mathematical Society / v.50, no.4, 2013 , pp. 1099-1108 More about this Journal

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

Mannheim curves; Mannheim partner curves; space form;

Citations & Related Records

Reference

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. DOI

1	Ali Ucum. (2015) Journal of Dynamical Systems and Geometric Theories On Generalized Timelike Mannheim Curves in Minkowski Space-time / 13 (1) , 71
2	Kazım İlarslan. (2016) Proceedings of the National Academy of Sciences, India Section A: Physical Sciences On Generalized Spacelike Mannheim Curves in Minkowski Space–Time / 86 (2) , 249
	Wenjing Zhao. (2015) Advances in Mathematical Physics Mannheim Curves in Nonflat 3-Dimensional Space Forms / 2015 , 1