Lightlike hypersurfaces of an indefinite Kaehler manifold of a quasi-constant curvature
Communications in Mathematics (2019)
- Volume: 27, Issue: 1, page 1-12
- ISSN: 1804-1388
Access Full Article
top
Abstract
topHow to cite
topJin, Dae Ho, and Lee, Jae Won. "Lightlike hypersurfaces of an indefinite Kaehler manifold of a quasi-constant curvature." Communications in Mathematics 27.1 (2019): 1-12. <http://eudml.org/doc/294605>.
@article{Jin2019,
abstract = {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.},
author = {Jin, Dae Ho, Lee, Jae Won},
journal = {Communications in Mathematics},
keywords = {Totally umbilical; Screen conformal; quasi-constant curvature},
language = {eng},
number = {1},
pages = {1-12},
publisher = {University of Ostrava},
title = {Lightlike hypersurfaces of an indefinite Kaehler manifold of a quasi-constant curvature},
url = {http://eudml.org/doc/294605},
volume = {27},
year = {2019},
}
TY - JOUR
AU - Jin, Dae Ho
AU - Lee, Jae Won
TI - Lightlike hypersurfaces of an indefinite Kaehler manifold of a quasi-constant curvature
JO - Communications in Mathematics
PY - 2019
PB - University of Ostrava
VL - 27
IS - 1
SP - 1
EP - 12
AB - 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.
LA - eng
KW - Totally umbilical; Screen conformal; quasi-constant curvature
UR - http://eudml.org/doc/294605
ER -
References
top- Atindogbe, C., Duggal, K.L., Conformal screen on lightlike hypersurfaces, International J. of Pure and Applied Math., 11, 4, 2004, 421-442, (2004) MR2039644
- Chen, B.Y., Yano, K., Hypersurfaces of a conformally flat space, Tensor (NS), 26, 1972, 318-322, (1972) Zbl0257.53027MR0331283
- Duggal, K.L., Bejancu, A., Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications, 1996, Kluwer Acad. Publishers, Dordrecht, (1996) MR1383318
- Duggal, K.L., Jin, D.H., 10.1016/j.geomphys.2010.07.005, J. Geom. Phys., 60, 2010, 1881-1889, (2010) MR2735275DOI10.1016/j.geomphys.2010.07.005
- Jin, D.H., 10.1007/s13226-010-0032-y, Indian J. of Pure and Applied Math., 41, 4, 2010, 569-581, (2010) MR2672691DOI10.1007/s13226-010-0032-y
- Jin, D.H., 10.4134/CKMS.2010.25.3.443, Commun. Korean Math. Soc., 25, 3, 2010, 443-450, (2010) MR2675996DOI10.4134/CKMS.2010.25.3.443
- Rham, G. de, 10.1007/BF02564308, Comm. Math. Helv., 26, 1952, 328-344, (1952) MR0052177DOI10.1007/BF02564308
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.