Screen generic lightlike submersions

HONAM MATHEMATICAL JOURNAL(2023)

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摘要
We introduce the study of a new class of a lightlike submersion phi : K1 -> K ' from a screen generic lightlike submanifold of an indefinite Kaehler manifold K2 onto an indefinite almost Hermitian manifold K ' , and show that for this case K ' must be an indefinite Kaehler manifold. Then, we derive a relationship between the holomorphic sectional curvatures of K2 and K ' . Finally, we present a classification theorem for a screen generic lightlike submersion, giving the relationship between the sectional curvatures of the total space K2 and the fibers.
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关键词
lightlike submersion,indefinite Kaehler manifold,holomorphic bisectional curvature
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