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Classification of Möbius homogeneous curves in R4.
- Source :
- AIMS Mathematics (2473-6988); 2024, Vol. 9 Issue 8, p23027-23046, 20p
- Publication Year :
- 2024
-
Abstract
- In this paper, we investigate the Möbius geometry of curves in R<superscript>4</superscript>. First, using moving frame methods we construct a complete system of Möbius invariants for regular curves in R<superscript>4</superscript> by the isometric invariants. Second, we completely classify the Möbius homogeneous curves in R<superscript>4</superscript> up to a Möbius transformation of R<superscript>4</superscript>. [ABSTRACT FROM AUTHOR]
- Subjects :
- TRANSFORMATION groups
CURVATURE
GEOMETRY
CLASSIFICATION
Subjects
Details
- Language :
- English
- ISSN :
- 24736988
- Volume :
- 9
- Issue :
- 8
- Database :
- Complementary Index
- Journal :
- AIMS Mathematics (2473-6988)
- Publication Type :
- Academic Journal
- Accession number :
- 178904398
- Full Text :
- https://doi.org/10.3934/math.20241119