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

数学学院

Beijing Institute of Technology

科研成果: 期刊稿件 › 文章 › 同行评审

1 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	681-689
页数	9
期刊	Bulletin of the Korean Mathematical Society
卷	56
期	3
DOI	https://doi.org/10.4134/BKMS.b180491
出版状态	已出版 - 2019

访问文件

10.4134/BKMS.b180491

其它文件与链接

链接到 Scopus 的出版物

引用此

@article{78508e2e7c984e0596ba714e25437f2b,

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",

volume = "56",

pages = "681--689",

journal = "Bulletin of the Korean Mathematical Society",

issn = "1015-8634",

publisher = "Korean Mathematical Society",

number = "3",

}

TY - JOUR

T1 - A note on compact Möbius homogeneous submanifolds in Sn+1

AU - Ji, Xiu

AU - Li, Tongzhu

PY - 2019

Y1 - 2019

N2 - 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.

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

AN - SCOPUS:85070064786

SN - 1015-8634

VL - 56

SP - 681

EP - 689

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

摘要

访问文件

其它文件与链接

学术指纹

引用此

A note on compact Möbius homogeneous submanifolds in Sⁿ⁺¹