Abstract
In this paper, we investigate the Möbius geometry of curves in R4. First, using moving frame methods we construct a complete system of Möbius invariants for regular curves in R4 by the isometric invariants. Second, we completely classify the Möbius homogeneous curves in R4 up to a Möbius transformation of R4.
Original language | English |
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Pages (from-to) | 23027-23046 |
Number of pages | 20 |
Journal | AIMS Mathematics |
Volume | 9 |
Issue number | 8 |
DOIs | |
Publication status | Published - 2024 |
Keywords
- Möbius arclength
- Möbius curvature
- Möbius homogeneous curve
- Möbius transformation group
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Li, T., & Lin, R. (2024). Classification of Möbius homogeneous curves in R4. AIMS Mathematics, 9(8), 23027-23046. https://doi.org/10.3934/math.20241119