MMN-2483
Lightlike submersions from totally umbilical semi-transversal lightlike submanifolds
Rupali Kaushal; Rakesh Kumar; Rakesh Kumar Nagaich;Abstract
We study lightlike submersions from a totally umbilical semi-transversal lightlike submanifold of an indefinite Kaehler manifold onto an indefinite almost Hermitian manifold. We show that
if an indefinite almost Hermitian manifold $B$ admits a lightlike submersion $\phi:M \rightarrow B$ from a totally umbilical
semi-transversal lightlike submanifold $M$ of an indefinite Kaehler manifold $\bar{M}$ then $B$ is necessarily an indefinite Kaehler
manifold. We investigate the condition for a totally umbilical semi-transversal lightlike submanifold $M$ to becomes a product manifold and its fibers become geodesic. Finally, we obtain some characterization theorems related to the sectional curvature of an indefinite Kaehler manifold.
Vol. 19 (2018), No. 2, pp. 953-968