Classification of Möbius homogeneous curves in $ \mathbb{R}^4 $
| Autor: | Tongzhu Li, Ruiyang Lin |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2024 |
| Předmět: | |
| Zdroj: | AIMS Mathematics, Vol 9, Iss 8, Pp 23027-23046 (2024) |
| Druh dokumentu: | article |
| ISSN: | 20241119 2473-6988 43544541 |
| DOI: | 10.3934/math.20241119?viewType=HTML |
| Popis: | In this paper, we investigate the Möbius geometry of curves in $ \mathbb{R}^4 $. First, using moving frame methods we construct a complete system of Möbius invariants for regular curves in $ \mathbb{R}^4 $ by the isometric invariants. Second, we completely classify the Möbius homogeneous curves in $ \mathbb{R}^4 $ up to a Möbius transformation of $ \mathbb{R}^4 $. |
| Databáze: | Directory of Open Access Journals |
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