WARPED PRODUCT POINTWISE SEMI-SLANT SUBMANIFOLDS OF ALMOST CONTACT MANIFOLDS

被引：0

作者：

Mihai, Ion ^{[1
]}

Uddin, Siraj ^{[2
]}

Mihai, Adela ^{[3
,4
]}

机构：

[1] Univ Bucharest, Fac Math, Str Acad 14, Bucharest 010014, Romania

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

[3] Tech Univ Civil Engn Bucharest, Dept Math & Comp Sci, Lacul Tei Bvd 122-124, Bucharest 020396, Romania

[4] Transilvania Univ Brasov, Interdisciplinary Doctoral Sch, Bd Eroilor 29, Brasov 500036, Romania

来源：

KRAGUJEVAC JOURNAL OF MATHEMATICS | 2024年 / 48卷 / 03期

关键词：

Warped products; pointwise slant submanifolds; pointwise semi-slant submanifolds; Sasakian manifolds; cosymplectic manifold; CR-SUBMANIFOLDS; KAEHLER MANIFOLDS; GEOMETRY;

D O I：

10.46793/KgJMat2403.453M

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

B. -Y. Chen and O. J. Garay studied pointwise slant submanifolds of almost Hermitian manifolds. By using the notion of pointwise slant submanifolds, we investigate the geometry of pointwise semi -slant submanifolds and their warped products in Sasakian and cosymplectic manifolds. We prove that there exist no proper pointwise semi -slant warped product submanifold other than contact CRwarped products in Sasakian manifolds. We give non -trivial examples of such submanifolds in cosymplectic manifolds and obtain several fundamental results, including a characterization for warped product pointwise semi -slant submanifolds.

引用

页码：453 / 471

页数：19

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