Generalized helices in three-dimensional Lie groups

DOI10.3906/mat-1806-33zbMath1421.53024OpenAlexW2947434073WikidataQ115219435 ScholiaQ115219435MaRDI QIDQ5229855

Anastasiya Opariy, Alexander Yampolsky

Publication date: 19 August 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/9d08edd32566cb0270c1a24403dc37a16d44bccd

zbMATH Keywords

slant helixLancret's theoremcurves in Lie groups

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) General properties and structure of real Lie groups (22E15) Local submanifolds (53B25) Curves in Euclidean and related spaces (53A04)

Related Items (1)

Darboux helices in three dimensional Lie groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Slant helices in three dimensional Lie groups
• A generalization of Lancret's theorem
• Curvatures of left invariant metrics on Lie groups
• Characterization of the Slant Helix as Successor Curve of the General Helix
• General helices and a theorem of Lancret

This page was built for publication: Generalized helices in three-dimensional Lie groups