A note on compact Möbius homogeneous submanifolds in Sn+1

Xiu Ji, Tongzhu Li

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

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 languageEnglish
Pages (from-to)681-689
Number of pages9
JournalBulletin of the Korean Mathematical Society
Volume56
Issue number3
DOIs
Publication statusPublished - 2019

Keywords

  • Homogeneous hypersurfaces
  • Isometric transformation group
  • Möbius homogeneous hypersurfaces
  • Möbius transformation group

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