Möbius homogeneous hypersurfaces in Sn+1

Tongzhu Li*, Xiang Ma, Changping Wang, Peng Wang

*此作品的通讯作者

科研成果: 期刊稿件文章同行评审

摘要

Let M(Sn+1) denote the Möbius transformation group of the (n+1)-dimensional sphere Sn+1. A hypersurface x:Mn→Sn+1 is called a Möbius homogeneous hypersurface if there exists a subgroup G of M(Sn+1) such that the orbit G⋅p=x(Mn),p∈x(Mn). In this paper, the Möbius homogeneous hypersurfaces are classified completely up to a Möbius transformation of Sn+1.

源语言英语
文章编号109722
期刊Advances in Mathematics
448
DOI
出版状态已出版 - 6月 2024

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引用此

Li, T., Ma, X., Wang, C., & Wang, P. (2024). Möbius homogeneous hypersurfaces in Sn+1. Advances in Mathematics, 448, 文章 109722. https://doi.org/10.1016/j.aim.2024.109722