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Author:

Ya Yun CHEN (Ya Yun CHEN.) | Xiu JI (Xiu JI.) | Tong Zhu LI (Tong Zhu LI.)

Abstract:

Let M?b(Sn+1) denote the M?bius transformation group of Sn+1. A hypersurface f :Mn →Sn+1 is called a M?bius homogeneous hypersurface, if there exists a subgroup G (△) M?b(Sn+1) such that the orbit G(p) = {φ(p)|φ ∈ G} = f(Mn), p ∈ f(Mn). In this paper, we classify the M?bius homogeneous hypersurfaces in Sn+1 with at most one simple principal curvature up to a M?bius transformation.

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Author Community:

  • [ 1 ] [Xiu JI]北京工业大学
  • [ 2 ] [Ya Yun CHEN]北京工业大学
  • [ 3 ] [Tong Zhu LI]北京工业大学

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Source :

数学学报(英文版)

ISSN: 1439-8516

Year: 2020

Issue: 9

Volume: 36

Page: 1001-1013

0 . 7 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

ESI HC Threshold:46

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count: -1

Chinese Cited Count:

30 Days PV: 5

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