- Turkish Journal of Mathematics
- Vol: 42 Issue: 3
- On hypersurfaces with parallel Möbius form and constant para-Blaschke eigenvalues
On hypersurfaces with parallel Möbius form and constant para-Blaschke eigenvalues
Authors : Shujie Zhai, Xiuli Guo, Zejun Hu
Pages : 1180-1191
View : 7 | Download : 5
Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :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