Warped product skew CR-submanifolds of Kenmotsu manifolds and their applications

Autor:	R Falleh Al-Solamy, Ion Mihai, Siraj Uddin, Monia Naghi Fouad
Rok vydání:	2018
Předmět:	Pure mathematics General Mathematics Product (mathematics) Skew Mathematics::Differential Geometry Mathematics::Symplectic Geometry Mathematics
Zdroj:	Filomat. 32:3505-3528
ISSN:	2406-0933 0354-5180
Popis:	In this paper, we introduce the notion of warped product skew CR-submanifolds in Kenmotsu manifolds. We obtain several results on such submanifolds. A characterization for skew CR-submanifolds is obtained. Furthermore, we establish an inequality for the squared norm of the second fundamental form of a warped product skew CR-submanifold M1 x fM? of order 1 in a Kenmotsu manifold ?M in terms of the warping function such that M1 = MT x M?, where MT, M? and M? are invariant, anti-invariant and proper slant submanifolds of ?M, respectively. Finally, some applications of our results are given.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::c71d900aabd9b1fd60bb19a4694666a4 https://doi.org/10.2298/fil1810505n Zobrazit plný text záznamu