MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
HEMI-SLANT $\xi^\bot$-LORENTZIAN SUBMERSIONS FROM $(LCS)_n$-MANIFOLDS
T. Pal, S. K. Hui

Abstract

The present paper introduce a study of hemi-slant $\xi^\bot$-Lorentzian submersion from $(LCS)_n$-manifolds with an example. We obtain some results and investigate the geometry of foliations. Necessary and sufficient conditions for such submersion to be totally geodesic have been obtained. Finally, we study such submersions with totally umbilical fibers.

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Keywords: $(LCS)_n$-manifold; Lorentzian submersion; hemi-slant $\xi^\bot$-Lorentzian submersion.

MSC: 53C15, 53C43, 53C50

Pages:  106--116     

Volume  72 ,  Issue  2 ,  2020