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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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
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WoS CC Cited Count: 0
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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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