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 thatif an indefinite almost Hermitian manifold $B$ admits a lightlike submersion $phi:M ightarrow B$ from a totally umbilicalsemi-transversal lightlike submanifold $M$ of an indefinite Kaehler manifold $ar{M}$ then $B$ is necessarily an indefinite Kaehlermanifold. 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.
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机译：我们从不确定的Kaehler流形到不确定的几乎Hermitian流形的完全脐带半横向lightlike子流形研究lightlike浸没。我们证明，如果一个不确定的几乎埃尔米特流形$ B $从一个不确定的Kaehler流形$ bar {M} $的一个完全脐半半轻形子流形$ M $接受一个光似的浸没$ phi：M rightarrow B $ $一定是不确定的Kaehlermanifold。我们研究了完全脐带半横形轻子流形$ M $成为产品流形并且其纤维变为测地线的条件。最后，我们获得了与不确定Kaehler流形截面曲率有关的一些定理定理。
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