AUTHOR=Siddiqi M. Danish , Khan Meraj A. , Ishan Amira A. , Chaubey S. K. 

TITLE=Anti-Invariant Lorentzian Submersions From Lorentzian Concircular Structure Manifolds

JOURNAL=Frontiers in Physics

VOLUME=Volume 10 - 2022

YEAR=2022

URL=https://www.frontiersin.org/journals/physics/articles/10.3389/fphy.2022.812190

DOI=10.3389/fphy.2022.812190

ISSN=2296-424X

ABSTRACT=This research article attempts to investigates anti-invariant Lorentzian submersions and the Lagrangian Lorentzian submersions  $(LLS)$ from  Lorentzian concircular structure [in short, $(LCS)_{n}$] manifolds onto semi-Riemannian manifolds with relevant  non-trivial examples. It is shown that the horizontal distributions of such submersions are not integrable and their fibers are not totally geodesics. As a result, they can not be totally geodesic maps. Anti-invariant and Lagrangian submersions are also explored for their harmonicity. We illustrate that if the Reeb vector field is horizontal, the anti-invariant and $LLS$ can not be harmonic.