@article{Li2024, 
author = {Tongzhu Li and Ruiyang Lin},
title = {Classification of Möbius homogeneous curves in  R4},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {8},
pages = {23027-23046},
keywords = {Möbius transformation group, Möbius homogeneous curve, Möbius arclength, Möbius curvature},
url = {https://www.sciopen.com/article/10.3934/math.20241119},
doi = {10.3934/math.20241119},
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.}
}