Geodesics and Translation Curves in <inline-formula><math display="inline"><semantics><msubsup><mi>Sol</mi><mn>0</mn><mn>4</mn></msubsup></semantics></math></inline-formula>

A translation curve in a Thurston space is a curve such that for given unit vector at the origin, the translation of this vector is tangent to the curve in every point of the curve. In most Thurston spaces, translation curves coincide with geodesic lines. However, this does not hold for Thurston spa...

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Bibliographic Details
Main Author: Zlatko Erjavec
Format: Article
Language:English
Published: MDPI AG 2023-03-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/11/6/1533