Turkish Journal of Mathematics
DOI
10.3906/mat-1706-90
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
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
