On hypersurfaces with parallel M¨obius form and constant para-Blaschke eigenvalues

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

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ISSN: 1300-0098
Yayın Aralığı: Yılda 6 Sayı
Yayıncı: TÜBİTAK

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