Generalized helices in three-dimensional Lie groups | Zendy

Alexander Yampolsky | Zendy; Anastasiya OPARIY | Zendy

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Generalized helices in three-dimensional Lie groups

Author(s) -

Alexander Yampolsky,

Anastasiya OPARIY

Publication year - 2019

Publication title -

turkish journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.454

H-Index - 27

eISSN - 1303-6149

pISSN - 1300-0098

DOI - 10.3906/mat-1806-33

Subject(s) - mathematics , lie group , pure mathematics , simple lie group , lie theory , invariant (physics) , adjoint representation , metric (unit) , fundamental representation , lie algebra , adjoint representation of a lie algebra , mathematical physics , lie conformal algebra , weight , operations management , economics

We introduce three types of helices in three-dimensional Lie groups with left-invariant metric and give their geometrical description similar to that of Lancret. We generalize the results known for the case of three-dimensional Lie groups with bi-invariant metric.

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