Characterizing Base in Warped Product Submanifolds of Complex Projective Spaces by Differential Equations

Autor:	Ali H. Alkhaldi, Pişcoran Laurian-Ioan, Izhar Ahmad, Akram Ali
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	warped products complex projective spaces Dirichlet energy Ricci curvature ordinary differential equations Mathematics QA1-939
Zdroj:	Mathematics, Vol 10, Iss 2, p 244 (2022)
Druh dokumentu:	article
ISSN:	2227-7390
DOI:	10.3390/math10020244
Popis:	In this study, a link between the squared norm of the second fundamental form and the Laplacian of the warping function for a warped product pointwise semi-slant submanifold Mn in a complex projective space is presented. Some characterizations of the base NT of Mn are offered as applications. We also look at whether the base NT is isometric to the Euclidean space Rp or the Euclidean sphere Sp, subject to some constraints on the second fundamental form and warping function.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/16d5053592dd40fc844e98263ac1cc9f Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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