Properties of Anti-Invariant Submersions and Some Applications to Number Theory

Autor:	Ali H. Hakami, Mohd. Danish Siddiqi
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	anti-invariant submersion Lagrangian submersion Lorentzian para-Sasakian manifold homotopy groups Mathematics QA1-939
Zdroj:	Mathematics, Vol 11, Iss 15, p 3368 (2023)
Druh dokumentu:	article
ISSN:	2227-7390
DOI:	10.3390/math11153368
Popis:	In this article, we investigate anti-invariant Riemannian and Lagrangian submersions onto Riemannian manifolds from the Lorentzian para-Sasakian manifold. We demonstrate that, for these submersions, horizontal distributions are not integrable and their fibers are not totally geodesic. As a result, they are not totally geodesic maps. The harmonicity of such submersions is also examined. We specifically prove that they are not harmonic when the Reeb vector field is horizontal. Finally, we provide an illustration of our findings and mention some number-theoretic applications for the same submersions.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/2c63d089309e4740a169c31e3c7f1997 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
Nepřihlášeným uživatelům se plný text nezobrazuje	K zobrazení výsledku je třeba se přihlásit.