Mannheim curves in nonflat 3-dimensional space forms

DOI10.1155/2015/319046zbMath1346.53025OpenAlexW1968044044WikidataQ59102463 ScholiaQ59102463MaRDI QIDQ277844

Xinyu Cao, Wenjing Zhao, Dong He Pei

Publication date: 2 May 2016

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2015/319046

zbMATH Keywords

constant coefficientsLorentzian space formlinear relationship

Mathematics Subject Classification ID

Local submanifolds (53B25) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (5)

Some curve pairs according to types of Bishop frame ⋮ Alternative partner curves in the Euclidean 3-space ⋮ On generalized spacelike Mannheim curves in Minkowski space-time ⋮ BERTRAND-B CURVES IN THE THREE DIMENSIONAL SPHERE ⋮ Evolutoids of the mixed-type curves

Cites Work

• Unnamed Item
• Unnamed Item
• Bertrand curves in the three-dimensional sphere
• On null and pseudo null Mannheim curves in Minkowski 3-space
• On invariants of null curves in the pseudo-Euclidean geometry
• Geometrical particle models on 3D null curves
• Curves in the lightlike cone
• Null Cartan Bertrand curves of \(AW(k)\)-type in Minkowski 4-space
• Bertrand curves in 3-dimensional space forms
• Relativistic particles and the geometry of 4-D null curves
• Mannheim partner curves in 3-space
• MANNHEIM CURVES IN 3-DIMENSIONAL SPACE FORMS
• BERTRAND CURVES IN NON-FLAT 3-DIMENSIONAL (RIEMANNIAN OR LORENTZIAN) SPACE FORMS

This page was built for publication: Mannheim curves in nonflat 3-dimensional space forms