Anti-Invariant Lorentzian Submersions From Lorentzian Concircular Structure Manifolds

M. Danish Siddiqi; Meraj A. Khan; Amira A. Ishan; S. K. Chaubey

doi:10.3389/fphy.2022.812190

Frontiers in Physics (Feb 2022)

Anti-Invariant Lorentzian Submersions From Lorentzian Concircular Structure Manifolds

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

Affiliations

M. Danish Siddiqi: Department of Mathematics, Faculty of Science, Jazan University, Jizan, Saudi Arabia
Meraj A. Khan: Department of Mathematics, College of Science, University of Tabuk University, Tabuk, Saudi Arabia
Amira A. Ishan: Department of Mathematics, College of Science, Taif University, Taif, Saudi Arabia
S. K. Chaubey: Section of Mathematics, Department of Information Technology, University of Technology and Applied Sciences-Shinas, Muscat, Oman

DOI: https://doi.org/10.3389/fphy.2022.812190
Journal volume & issue: Vol. 10

Abstract

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This research article attempts to investigate anti-invariant Lorentzian submersions and the Lagrangian Lorentzian submersions (LLS) from the 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 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.

Published in Frontiers in Physics

ISSN: 2296-424X (Online)
Publisher: Frontiers Media S.A.
Country of publisher: Switzerland
LCC subjects: Science: Physics
Website: https://www.frontiersin.org/journals/physics

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