| Title:
|
Lightlike hypersurfaces of an indefinite Kaehler manifold of a quasi-constant curvature (English) |
| Author:
|
Jin, Dae Ho |
| Author:
|
Lee, Jae Won |
| Language:
|
English |
| Journal:
|
Communications in Mathematics |
| ISSN:
|
1804-1388 (print) |
| ISSN:
|
2336-1298 (online) |
| Volume:
|
27 |
| Issue:
|
1 |
| Year:
|
2019 |
| Pages:
|
1-12 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We study lightlike hypersurfaces $M$ of an indefinite Kaehler manifold $\bar {M}$ of quasi-constant curvature subject to the condition that the characteristic vector field $\zeta $ of $\bar {M}$ is tangent to $M$. First, we provide a new result for such a lightlike hypersurface. Next, we investigate such a lightlike hypersurface $M$ of $\bar {M}$ such that (1) the screen distribution $S(TM)$ is totally umbilical or (2) $M$ is screen conformal. (English) |
| Keyword:
|
Totally umbilical |
| Keyword:
|
Screen conformal |
| Keyword:
|
quasi-constant curvature |
| MSC:
|
53C25 |
| MSC:
|
53C40 |
| MSC:
|
53C50 |
| idZBL:
|
Zbl 1469.53029 |
| idMR:
|
MR3977473 |
| . |
| Date available:
|
2019-06-28T14:44:03Z |
| Last updated:
|
2021-11-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147762 |
| . |
| Reference:
|
[1] Atindogbe, C., Duggal, K.L.: Conformal screen on lightlike hypersurfaces.International J. of Pure and Applied Math., 11, 4, 2004, 421-442, MR 2039644 |
| Reference:
|
[2] Chen, B.Y., Yano, K.: Hypersurfaces of a conformally flat space.Tensor (NS), 26, 1972, 318-322, Zbl 0257.53027, MR 0331283 |
| Reference:
|
[3] Duggal, K.L., Bejancu, A.: Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications.1996, Kluwer Acad. Publishers, Dordrecht, MR 1383318 |
| Reference:
|
[4] Duggal, K.L., Jin, D.H.: A classification of Einstein lightlike hypersurfaces of a Lorentzian space form.J. Geom. Phys., 60, 2010, 1881-1889, MR 2735275, 10.1016/j.geomphys.2010.07.005 |
| Reference:
|
[5] Jin, D.H.: Geometry of lightlike hypersurfaces of an indefinite Sasakian manifold.Indian J. of Pure and Applied Math., 41, 4, 2010, 569-581, MR 2672691, 10.1007/s13226-010-0032-y |
| Reference:
|
[6] Jin, D.H.: Lightlike real hypersurfaces with totally umbilical screen distributions.Commun. Korean Math. Soc., 25, 3, 2010, 443-450, MR 2675996, 10.4134/CKMS.2010.25.3.443 |
| Reference:
|
[7] Rham, G. de: Sur la réductibilité d'un espace de Riemannian.Comm. Math. Helv., 26, 1952, 328-344, MR 0052177, 10.1007/BF02564308 |
| . |
