HEMI-SLANT $\xi^\bot$-LORENTZIAN SUBMERSIONS FROM $(LCS)_n$-MANIFOLDS

T. Pal; S. K. Hui

Authors

T. Pal Department of Mathematics, The University of Burdwan, Golapbag, Burdwan – 713104, West Bengal, India Author
S. K. Hui Department of Mathematics, The University of Burdwan, Golapbag, Burdwan – 713104, West Bengal, India Author

Keywords:

(L C S)_{n}

-manifold, Lorentzian submersion, hemi-slant

ξ^{⊥}

-Lorentzian submersion

Subjects:

53C15, 53C43, 53C50

Abstract

The present paper introduce a study of hemi-slant $ξ^{⊥}$ -Lorentzian submersion from $(L C S)_{n}$ -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.

HEMI-SLANT $ξ^{⊥}$ -LORENTZIAN SUBMERSIONS FROM $(L C S)_{n}$ -MANIFOLDS

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HEMI-SLANT ξ⊥-LORENTZIAN SUBMERSIONS FROM (LCS)n-MANIFOLDS

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HEMI-SLANT $ξ^{⊥}$ -LORENTZIAN SUBMERSIONS FROM $(L C S)_{n}$ -MANIFOLDS