Communications of the
Korean Mathematical Society

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024



Commun. Korean Math. Soc. 2023; 38(4): 1191-1213

Online first article July 17, 2023      Printed October 31, 2023

Copyright © The Korean Mathematical Society.

Transversal lightlike submersions from indefinite Sasakian manifolds onto lightlike manifolds

Shiv Sharma Shukla, Vipul Singh

University of Allahabad; University of Allahabad


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