@article{61e53ee251ec4bd798fa17e5ec26eca8,
title = "M{\"o}bius Homogeneous Hypersurfaces with One Simple Principal Curvature in Sn+1",
abstract = "Let M{\"o}b(Sn+1) denote the M{\"o}bius transformation group of Sn+1. A hypersurface f: Mn → Sn+1 is called a M{\"o}bius homogeneous hypersurface, if there exists a subgroup G (Formula presented.)M{\"o}b(Sn+1) such that the orbit G(p) = {ϕ(p) ∣ ϕ ∈ G} = f (Mn),p ∈ f (Mn). In this paper, we classify the M{\"o}bius homogeneous hypersurfaces in Sn+1 with at most one simple principal curvature up to a M{\"o}bius transformation.",
keywords = "51B10, 53C30, M{\"o}bius homogeneous hypersurfaces, M{\"o}bius transformation group, homogeneous hypersurfaces, isometric transformation group",
author = "Chen, {Ya Yun} and Xiu Ji and Li, {Tong Zhu}",
note = "Publisher Copyright: {\textcopyright} 2020, Springer-Verlag GmbH Germany & The Editorial Office of AMS.",
year = "2020",
month = sep,
day = "1",
doi = "10.1007/s10114-020-9431-0",
language = "English",
volume = "36",
pages = "1001--1013",
journal = "Acta Mathematica Sinica, English Series",
issn = "1439-8516",
publisher = "Springer Verlag",
number = "9",
}