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, S, GUO, X, & HU, Z (2018). On hypersurfaces with parallel Möbius form andconstant para-Blaschke eigenvalues. Turkish Journal of Mathematics 42 (3): 1180-1191. https://doi.org/10.3906/mat-1706-90
