On Warped Product Pointwise Pseudo-Slant Submanifolds of LCK-Manifolds and Their Applications

Autor:	Fatimah Alghamdi
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	warped products CR-submanifold warped product pointwise slant warped products locally conformal Kähler manifold Mathematics QA1-939
Zdroj:	Axioms, Vol 13, Iss 11, p 807 (2024)
Druh dokumentu:	article
ISSN:	2075-1680
DOI:	10.3390/axioms13110807
Popis:	The concept of pointwise slant submanifolds of a Kähler manifold was presented by Chen and Garay. This research extends this notion to a more general setting, specifically in a locally conformal Kähler manifold. We study the pointwise pseudo-slant warped products of the form Σθ× fΣ⊥ in a locally conformal Kähler manifold. Using the concept of pointwise pseudo-slant, we establish the necessary and sufficient condition for it to be characterized as a warped product submanifold. In addition, we derive several results on pointwise pseudo-slant warped products that expand previously proven main ones. Further, some examples of such submanifolds and their warped products are also given.
Databáze:	Directory of Open Access Journals
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