Screen conformal half-lightlike submanifolds
We study some properties of a half-lightlike submanifold M, of a semi-Riemannian manifold, whose shape operator is conformal to the shape operator of its screen distribution. We show that any screen distribution S(TM) of M is integrable and the geometry of M has a close relation with the nondegenera...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2004-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171204403342 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | We study some properties of a half-lightlike submanifold M, of
a semi-Riemannian manifold, whose shape operator is conformal
to the shape operator of its screen distribution. We show that
any screen distribution S(TM) of M is integrable and the
geometry of M has a close relation with the nondegenerate
geometry of a leaf of S(TM). We prove some results on symmetric
induced Ricci tensor and null sectional curvature of this class. |
|---|---|
| ISSN: | 0161-1712 1687-0425 |