Communications of the
Korean Mathematical Society CKMS

In this paper, we introduce and study two new classes of lightlike submersions, called radical transversal and transversal lightlike submersions between an indefinite Sasakian manifold and a lightlike manifold. We give examples and investigate the geometry of distributions involved in the definitions of these lightlike submersions. We also study radical transversal and transversal lightlike submersions from an indefinite Sasakian manifold onto a lightlike manifold with totally contact umbilical fibers.

Keywords: Lightlike manifold, indefinite Sasakian manifold, radical transversal lightlike submersion, transversal lightlike submersion

MSC numbers: Primary 53C15, 53C20, 53C50, 53D15