Geometric topology of CR-warped products in six-dimensional sphere

被引：0

作者：

Alhouiti, Noura ^{[1
]}

Mofarreh, Fatemah ^{[2
]}

Alghamdi, Fatemah Abdullah ^{[3
]}

Ali, Akram ^{[4
]}

Piscoran, Laurian-Ioan ^{[5
]}

机构：

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

[2] Princess Nourah Bint Abdulrahman Univ, Fac Sci, Math Sci Dept, Riyadh 11546, Saudi Arabia

[3] Imam Abdulrahman Bin Faisal Univ, Appl Coll, Financial Sci Dept, Dammam, Saudi Arabia

[4] King Khalid Univ, Dept Math, Abha, Saudi Arabia

[5] Tech Univ Cluj Napoca, North Univ Ctr Baia Mare, Dept Math & Comp Sci, Victoriei 76, Baia Mare 430122, Romania

来源：

AIMS MATHEMATICS | 2024年 / 9卷 / 09期

关键词：

CR-warped products; nearly Kaehler manifold; fundamental groups; MINIMAL SUBMANIFOLDS; STABLE CURRENTS; MANIFOLDS; REAL;

D O I：

10.3934/math.20241224

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove that a three-dimensional CR-warped product submanifold of a nearly Kaehler six-dimensional sphere, under some restrictions, contains finite fundamental groups. Using another approach from the theory of eigenvalues and also the gradient of Ricci curvature, we obtain similar results.

引用

页码：25114 / 25126

页数：13

共 35 条

[31] The general warped solution with conical branes in six-dimensional supergravity -: art. no. 062
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Lüdeling, C
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[32] A Geometric Obstruction for CR-Slant Warped Products in a Nearly Cosymplectic Manifold
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[33] Apparent horizons with nontrivial topology and the hyperhoop conjecture in six-dimensional space-times
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PHYSICAL REVIEW D, 2012, 85 (04):
[34] Topology and geometry of six-dimensional (1,0) supergravity black hole horizons
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CLASSICAL AND QUANTUM GRAVITY, 2012, 29 (05)
[35] Mesh-free canonical tensor products for six-dimensional density matrix: computation of kinetic energy
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