Semi-slant lightlike submersions

Abstract

In this paper, we intend to study semi-slant lightlike submersions from indefinite Kaehler manifolds onto lightlike manifolds. After giving definitions and basic properties, we obtain conditions for a lightlike submersion to be a semi-slant lightlike submersion. We indicate some relevant examples. Finally, we investigate the geometric properties of foliations that appeared with a semi-slant lightlike submersion.

Keywords

• Lightlike submersion
• totaly geodesic foliation
• indefinite Kaehler manifold

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