Theorems of existence and uniqueness for pointwise-slant immersions in Kenmotsu space forms

被引：0

作者：

Alhouiti, Noura ^{[1
]}

机构：

[1] Univ Tabuk, Univ Coll Haqel, Dept Basic Sci, Tabuk 71491, Saudi Arabia

来源：

AIMS MATHEMATICS | 2024年 / 9卷 / 07期

关键词：

Kenmotsu manifold; sectional curvature; Kenmotsu space form; pointwise-slant immersion; SUBMANIFOLDS;

D O I：

10.3934/math.2024850

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The present paper aims to demonstrate the theorems of existence and uniqueness for pointwise slant immersions in Kenmotsu space forms. Some substantial results are given in this direction. Also, we offer non-trivial examples of pointwise slant submanifolds of an almost contact-metric manifold.

引用

页码：17489 / 17503

页数：15

共 27 条

[1] Existence and Uniqueness Theorems for Pointwise Slant Immersions in Complex Space Forms [J].

Alghanemi, Azeb ;

Al-houiti, Noura M. ;

Chen, Bang-Yen ;

Uddin, Siraj .

FILOMAT, 2021, 35 (09) :3127-3138

[2] Existence and uniqueness theorems for pointwise-slant immersions in Sasakian space forms [J].

Alhouiti, Noura .

AIMS MATHEMATICS, 2023, 8 (08) :17470-17483

[3] Slant and pseudo-slant submanifolds in LCS-manifolds [J].

Atceken, Mehmet ;

Hui, Shyamal Kumar .

CZECHOSLOVAK MATHEMATICAL JOURNAL, 2013, 63 (01) :177-190

[4]

Blair D.E., 1976, Contact manifolds in Riemannian geometry, DOI [10.1007/bfb0079307, DOI 10.1007/BFB0079307]

[5] Slant submanifolds in Sasakian manifolds [J].

Cabrerizo, JL ;

Carriazo, A ;

Fernández, LM ;

Fernández, M .

GLASGOW MATHEMATICAL JOURNAL, 2000, 42 :125-138

[6]

Cabrerizo JL, 2001, PUBL MATH-DEBRECEN, V58, P559

[7]

Carriazo A., 2002, New Developments in Slant Submanifolds Theory

[8]

Chen B. Y., 1990, PREPRINT

[9]

Chen B. Y., 1973, GEOMETRY SUBMANIFOLD

[10] Pointwise slant submanifolds in almost Hermitian manifolds [J].

Chen, Bang-Yen ;

Garay, Oscar J. .

TURKISH JOURNAL OF MATHEMATICS, 2012, 36 (04) :630-640

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