On Translation Curves and Geodesics in <inline-formula><math display="inline"><semantics><msubsup><mrow><mi>Sol</mi></mrow><mn>1</mn><mn>4</mn></msubsup></semantics></math></inline-formula>

A translation curve in a homogeneous space is a curve such that for a given unit vector at the origin, translation of this vector is tangent to the curve in its every point. Translation curves coincide with geodesics in most Thurston spaces, but not in twisted product Thurston spaces. Moreover, tran...

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Bibliografische Detailangaben

Hauptverfasser:	Zlatko Erjavec, Marcel Maretić
Format:	Artigo
Sprache:	Inglês
Veröffentlicht:	MDPI AG 2023-04-01
Schriftenreihe:	Mathematics
Schlagworte:	translation curve geodesic solvable Lie group <named-content content-type="inline-formula"> <mml:math id="mm1653468"> <mml:semantics> <mml:msubsup> <mml:mi>Sol</mml:mi> <mml:mn>1</mml:mn> <mml:mn>4</mml:mn> </mml:msubsup> </mml:semantics> </mml:math> </named-content> space
Online-Zugang:	https://www.mdpi.com/2227-7390/11/8/1820
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