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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2023-04-01
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| Series: | Mathematics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2227-7390/11/8/1820 |