논문KCI 등재
Mannheim curves in 3-dimensional space forms
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초록
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.
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.
참고문헌 (2)
- J. H. Choi, "Bertrand curves in 3-dimensional space forms", Applied Mathematics and Computation
- H. Liu, "Mannheim partner curves in 3-space", J. Geom, 88(1), pp.120~126 (2008)
관련 논문AI추천
BIMINIMAL CURVES IN 2-DIMENSIONAL SPACE FORMS이지은, Jun-ichi Inoguchi대한수학회 · 대한수학회논문집2012 · 제27권 제4호Bertrand curves in non-flat 3-dimensional (Riemannian or Lorentzian) space formsJose Antonio Ortega-Yagues, Pascual Lucas대한수학회 · 대한수학회보2013 · 제50권 제4호Directional associated curves of a null curve in Minkowski 3-space김영호, Jinhua Qian대한수학회 · 대한수학회보2015 · 제52권 제1호Isotropic Submanifolds of Real Space Forms김영호경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2012 · 제52권 제3호On slant curves in $S$-manifoldsCihan Ozgur, Saban Guvenc대한수학회 · 대한수학회논문집2018 · 제33권 제1호Null Bertrand Curves in a Lorentz Manifold진대호한국수학교육학회 · 이론수학과 교직수학2008 · 제15권 제3호
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