Abstract
The Möbius homogeneous submanifold in Sn+1 is an orbit of a subgroup of the Möbius transformation group of Sn+1. In this note, We prove that a compact Möbius homogeneous submanifold in Sn+1 is the image of a Möbius transformation of the isometric homogeneous submanifold in Sn+1.
Original language | English |
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Pages (from-to) | 681-689 |
Number of pages | 9 |
Journal | Bulletin of the Korean Mathematical Society |
Volume | 56 |
Issue number | 3 |
DOIs | |
Publication status | Published - 2019 |
Keywords
- Homogeneous hypersurfaces
- Isometric transformation group
- Möbius homogeneous hypersurfaces
- Möbius transformation group