Turkish Journal of Mathematics
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.
DOI
10.3906/mat-1706-90
Keywords
Blaschke tensor, Möbius form, Möbius second fundamental form, Möbius metric, parallel Möbius form
First Page
1180
Last Page
1191
Recommended Citation
ZHAI, SHUJIE; GUO, XIULI; and HU, ZEJUN
(2018)
"On hypersurfaces with parallel Möbius form andconstant para-Blaschke eigenvalues,"
Turkish Journal of Mathematics: Vol. 42:
No.
3, Article 34.
https://doi.org/10.3906/mat-1706-90
Available at:
https://journals.tubitak.gov.tr/math/vol42/iss3/34
