Hypersurfaces with Two Distinct Para-Blaschke Eigenvalues in Sn+1(1)
Let x:M↦Sn+1(1) be an n (n≥3)-dimensional immersed hypersurface without umbilical points and with vanishing Möbius form in a unit sphere Sn+1(1), and let A and B be the Blaschke tensor and the Möbius second fundamental form of x, respectively. We define a symmetric (0,2) tensor D=A+λB which is call...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2014/398746 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | Let x:M↦Sn+1(1) be an n (n≥3)-dimensional immersed hypersurface without umbilical points and with vanishing Möbius form in a unit sphere Sn+1(1), and let A and B be the Blaschke tensor and the Möbius second fundamental form of x, respectively. We define a symmetric (0,2) tensor D=A+λB which is called the para-Blaschke tensor of x, where λ is a constant. An eigenvalue of the para-Blaschke tensor is called a para-Blaschke eigenvalue of x. The aim of this paper is to classify the oriented hypersurfaces in Sn+1(1) with two distinct para-Blaschke eigenvalues under some rigidity conditions. |
|---|---|
| ISSN: | 0161-1712 1687-0425 |