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典型文献
On Submanifolds of the Unit Sphere with Vanishing M(o)bius Form and Parallel Para-Blaschke Tensor
文献摘要:
The para-Blaschke tensor are extended in this paper from hypersurfaces to general higher codimensional submanifolds in the unit sphere Sn,which is invariant under the M(o)bius transformations on Sn.Then some typical new examples of umbilic-free submanifolds in Sn with vanishing M(o)bius form and a parallel para-Blaschke tensor of two distinct eigenvalues,D1 and D2,are constructed.The main theorem of this paper is a simple characterization of these newly found examples in terms of the eigenvalues D1 and D2.
文献关键词:
作者姓名:
Hong Ru SONG;Xi Min LIU
作者机构:
School of Mathematical Sciences,Dalian University of Technology,Dalian 116024,P.R.China
引用格式:
[1]Hong Ru SONG;Xi Min LIU-.On Submanifolds of the Unit Sphere with Vanishing M(o)bius Form and Parallel Para-Blaschke Tensor)[J].数学学报(英文版),2022(02):347-370
A类:
Submanifolds,Vanishing,codimensional,umbilic
B类:
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AB值:
0.523484
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