Shujie ZHAI, Xiuli GUO, Zejun HU

129140

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

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.
Keywords:

Blaschke tensor, Möbius form Möbius second fundamental form, Möbius metric, parallel Möbius form,

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Turkish Journal of Mathematics-Cover
  • ISSN: 1300-0098
  • Yayın Aralığı: 6
  • Yayıncı: TÜBİTAK
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