On hypersurfaces with parallel Möbius form and constant para-Blaschke eigenvalues | Zendy

Shujie Zhai | Zendy; Xiuli GUO | Zendy; Zejun HU | Zendy

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On hypersurfaces with parallel Möbius form and constant para-Blaschke eigenvalues

Author(s) -

Shujie Zhai,

Xiuli GUO,

Zejun HU

Publication year - 2018

Publication title -

turkish journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.454

H-Index - 27

eISSN - 1303-6149

pISSN - 1300-0098

DOI - 10.3906/mat-1706-90

Subject(s) - hypersurface , mathematics , eigenvalues and eigenvectors , constant (computer programming) , unit sphere , mathematical analysis , unit (ring theory) , pure mathematics , physics , mathematics education , quantum mechanics , computer science , programming language

In this paper, we classify umbilic-free hypersurfaces of the unit sphere that have constant para-Blaschke eigenvalues and possess parallel Möbius form. To achieve the classification, we first of all show that, under the condition of having constant para-Blaschke eigenvalues, an umbilic-free hypersurface of the unit sphere is of parallel Möbius form if and only if its Möbius form vanishes identically.

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