Communications of the
Korean Mathematical Society CKMS

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Commun. Korean Math. Soc. 2019; 34(2): 637-655

Online first article January 11, 2019      Printed April 30, 2019

https://doi.org/10.4134/CKMS.c180142

Copyright © The Korean Mathematical Society.

Conformal semi-slant submersions from Lorentzian para Sasakian manifolds

Sushil Kumar, Rajendra Prasad, Punit Kumar Singh

University of Lucknow; University of Lucknow; University of Lucknow

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In this paper, we introduce conformal semi-slant submersions from Lorentzian para Sasakian manifolds onto Riemannian manifolds. We investigate integrability of distributions and the geometry of leaves of such submersions from Lorentzian para Sasakian manifolds onto Riemannian manifolds. Moreover, we examine necessary and sufficient conditions for such submersions to be totally geodesic where characteristic vector field $\xi $ is vertical.

Keywords: Lorentzian para Sasakian manifolds, semi-slant submersion, conformal semi-slant submeresion

MSC numbers: 35C15, 53C22, 53C42, 53C50

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