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=10

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=<p>This research article attempts to investigate anti-invariant Lorentzian submersions and the Lagrangian Lorentzian submersions (LLS) from the Lorentzian concircular structure [in short (LCS)<sub>n</sub>] 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 geodesic. 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.</p>