A note on compact Möbius homogeneous submanifolds in Sn+1

Xiu Ji; Tongzhu Li

doi:10.4134/BKMS.b180491

A note on compact Möbius homogeneous submanifolds in Sⁿ⁺¹

Xiu Ji
, Tongzhu Li

School of Mathematics and Statistics

Beijing Institute of Technology

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	681-689
Number of pages	9
Journal	Bulletin of the Korean Mathematical Society
Volume	56
Issue number	3
DOIs	https://doi.org/10.4134/BKMS.b180491
Publication status	Published - 2019

Keywords

Homogeneous hypersurfaces
Isometric transformation group
Möbius homogeneous hypersurfaces
Möbius transformation group

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10.4134/BKMS.b180491

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title = "A note on compact M{\"o}bius homogeneous submanifolds in Sn+1 ",

abstract = "The M{\"o}bius homogeneous submanifold in Sn+1 is an orbit of a subgroup of the M{\"o}bius transformation group of Sn+1. In this note, We prove that a compact M{\"o}bius homogeneous submanifold in Sn+1 is the image of a M{\"o}bius transformation of the isometric homogeneous submanifold in Sn+1.",

keywords = "Homogeneous hypersurfaces, Isometric transformation group, M{\"o}bius homogeneous hypersurfaces, M{\"o}bius transformation group",

author = "Xiu Ji and Tongzhu Li",

note = "Publisher Copyright: {\textcopyright} 2019 Korean Mathematical Society.",

year = "2019",

doi = "10.4134/BKMS.b180491",

language = "English",

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pages = "681--689",

journal = "Bulletin of the Korean Mathematical Society",

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AU - Ji, Xiu

AU - Li, Tongzhu

PY - 2019

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AB - 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.

KW - Homogeneous hypersurfaces

KW - Isometric transformation group

KW - Möbius homogeneous hypersurfaces

KW - Möbius transformation group

UR - https://www.scopus.com/pages/publications/85070064786

U2 - 10.4134/BKMS.b180491

DO - 10.4134/BKMS.b180491

M3 - Article

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JO - Bulletin of the Korean Mathematical Society

JF - Bulletin of the Korean Mathematical Society

IS - 3

ER -

A note on compact Möbius homogeneous submanifolds in Sⁿ⁺¹

Abstract

Keywords

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