Homology groups in CR-warped products of complex space forms

被引：0

作者：

Li, Yanlin ^{[1
]}

Ali, Akram ^{[2
]}

Alluhaibi, Nadia ^{[3
]}

Mofarreh, Fatemah ^{[4
]}

Ozel, Cenap ^{[5
]}

机构：

[1] Hangzhou Normal Univ, Sch Math, Hangzhou 311121, Peoples R China

[2] King Khalid Univ, Coll Sci, Dept Math, Abha, Saudi Arabia

[3] King Abdulaziz Univ, Sci & Arts Coll, Dept Math, Rabigh Campus, Jeddah, Saudi Arabia

[4] Princess Nourah bint Abdulrahman Univ, Fac Sci, Math Sci Dept, Riyadh 11546, Saudi Arabia

[5] King Abdulaziz Univ, Coll Sci, Dept Math, Jeddah, Saudi Arabia

来源：

HELIYON | 2024年 / 10卷 / 17期

关键词：

Homology groups; Stable currents; Eigenvalue; Compact CR-warped products; Homotopic; STABLE CURRENTS; SUBMANIFOLDS; MANIFOLDS; GEOMETRY; TOPOLOGY; REAL;

D O I：

10.1016/j.heliyon.2024.e36772

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In the present paper, by using the result of Lawson-Simons [15], we adopt a different technique to show that there are no stable integral q-currents and a non-trivial homology group in a compact oriented CR-warped product submanifold N-n in a complex space forms space Q(c)(m)(4c) by imposing some restrictions on the squared norm of gradient and the Laplacian of warped function. Finally, we show that the same approach can be given by using Dirichlet energy, positive eigenvalue, and Hamiltonian.

引用

页数：10