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 o ff er non -trivial examples of pointwise slant submanifolds of an almost contactmetric manifold.
引用
收藏
页码：17489 / 17503
页数：15
相关论文
共 27 条
  • [1] Existence and Uniqueness Theorems for Pointwise Slant Immersions in Complex Space Forms
    Alghanemi, Azeb
    Al-houiti, Noura M.
    Chen, Bang-Yen
    Uddin, Siraj
    [J]. FILOMAT, 2021, 35 (09) : 3127 - 3138
  • [2] Existence and uniqueness theorems for pointwise-slant immersions in Sasakian space forms
    Alhouiti, Noura
    [J]. AIMS MATHEMATICS, 2023, 8 (08): : 17470 - 17483
  • [3] Slant and pseudo-slant submanifolds in LCS-manifolds
    Atceken, Mehmet
    Hui, Shyamal Kumar
    [J]. 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
    Cabrerizo, JL
    Carriazo, A
    Fernández, LM
    Fernández, M
    [J]. GLASGOW MATHEMATICAL JOURNAL, 2000, 42 : 125 - 138
  • [6] Cabrerizo JL, 2001, PUBL MATH-DEBRECEN, V58, P559
  • [7] Carriazo A., 2002, NEW DEV SLANT SUBMAN
  • [8] Chen B. Y., 1990, PREPRINT
  • [9] Chen B.Y., 1990, Geometry of Slant Submanifolds
  • [10] Chen B. Y., 2001, Results Math., V39, P18, DOI DOI 10.1007/BF03322673
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