## Taiwanese Journal of Mathematics

### SOME INEQUALITIES ON SCREEN HOMOTHETIC LIGHTLIKE HYPERSURFACES OF A LORENTZIAN MANIFOLD

#### Abstract

In this paper, we establish some inequalities involving $k$-Ricci curvature, $k$-scalar curvature, the screen scalar curvature on a screen homothetic lightlike hypersurface of a Lorentzian manifold. We compute Chen-Ricci inequality and Chen inequality on a screen homothetic lightlike hypersurface of a Lorentzian manifold. We give an optimal inequality involving the $\delta(n_{1},\ldots ,n_{k})$-invariant and some characterizations (totally umbilicity, totally geodesicity, minimality, etc.) for lightlike hypersurfaces.

#### Article information

Source
Taiwanese J. Math., Volume 17, Number 6 (2013), 2083-2100.

Dates
First available in Project Euclid: 10 July 2017

https://projecteuclid.org/euclid.twjm/1499706286

Digital Object Identifier
doi:10.11650/tjm.17.2013.3185

Mathematical Reviews number (MathSciNet)
MR3141875

Zentralblatt MATH identifier
1286.53063

#### Citation

Gülbahar, Mehmet; Kılıç, Erol; Keleş, Sadık. SOME INEQUALITIES ON SCREEN HOMOTHETIC LIGHTLIKE HYPERSURFACES OF A LORENTZIAN MANIFOLD. Taiwanese J. Math. 17 (2013), no. 6, 2083--2100. doi:10.11650/tjm.17.2013.3185. https://projecteuclid.org/euclid.twjm/1499706286

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