@article{46dc98eab7fd406f984f4f6a393eee0f,
title = "Classification of M{\"o}bius homogeneous curves in R4",
abstract = "In this paper, we investigate the M{\"o}bius geometry of curves in R4. First, using moving frame methods we construct a complete system of M{\"o}bius invariants for regular curves in R4 by the isometric invariants. Second, we completely classify the M{\"o}bius homogeneous curves in R4 up to a M{\"o}bius transformation of R4.",
keywords = "M{\"o}bius arclength, M{\"o}bius curvature, M{\"o}bius homogeneous curve, M{\"o}bius transformation group",
author = "Tongzhu Li and Ruiyang Lin",
note = "Publisher Copyright: {\textcopyright} 2024 the Author(s), licensee AIMS Press.",
year = "2024",
doi = "10.3934/math.20241119",
language = "English",
volume = "9",
pages = "23027--23046",
journal = "AIMS Mathematics",
issn = "2473-6988",
publisher = "AIMS Press",
number = "8",
}