Existence and Nonexistence of Warped Product Submanifolds of Almost Contact Manifolds

被引：0

作者：

Mustafa, Abdulqader ^{[1
]}

Ozel, Cenap ^{[2
]}

Pigazzini, Alexander ^{[3
]}

Pincak, Richard ^{[4
]}

机构：

[1] Palestine Tech Univ, Fac Arts & Sci, Dept Math, Kadoorei, Tulkarm, Palestine

[2] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi Arabia

[3] Math & Phys Sci Fdn, DK-4200 Slagelse, Denmark

[4] Slovak Acad Sci, Inst Expt Phys, Kosice, Slovakia

来源：

INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY | 2023年 / 16卷 / 01期

关键词：

Contact CR-warped products; Sasakian manifolds; Kenmotsu manifolds; cosymplectic manifolds; nearly trans-Sasakian manifolds; general warped product; doubly warped product; second fundamental form; totally geodesic;

D O I：

10.36890/IEJG.1131334

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper has two goals; the first is to generalize results for the existence and nonexistence of warped product submanifolds of almost contact manifolds, accordingly a self-contained reference of such submanifolds is offered to save efforts of potential research. Most of the results of this paper are general and decisive enough to generalize both known and new results. Moreover, a discrete example of contact CR-warped product submanifold in Kenmotsu manifold is constructed. For further research direction, we addressed a couple of open problems arose from the results of this paper.

引用

页码：367 / 378

页数：12

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