Chen-Ricci Inequalities with a Quarter Symmetric Connection in Generalized Space Forms

Alkhaldi, Ali H.; Aquib, Mohd.; Aslam, Muhammad; Khan, Meraj Ali

doi:10.1155/2021/3221643

Search citation statements

Order By: Relevance

Paper Sections

Select...

Introduction1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2022

2024

Publication Types

Select...

Article1

Book1

Relationship

Self Cite0

Independent2

Authors

Journals

Cited by 2 publications

(1 citation statement)

References 24 publications

(24 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Sular [21] obtained Chen inequalities for submanifolds of generalized space forms with a semi-symmetric metric connection. Al-Khaldi et al [22] obtained the Chen-Ricci inequalities Lagrangian submanifold in generalized complex space form and a Legendrian submanifold in a generalized Sasakian-space-form endowed with the quarter-symmetric connection.…”

Section: Introductionmentioning

confidence: 99%

Improved Chen’s Inequalities for Submanifolds of Generalized Sasakian-Space-Forms

Khatri

Singh

et al. 2022

Axioms

View full text Add to dashboard Cite

In this article, we derive Chen’s inequalities involving Chen’s δ-invariant δM, Riemannian invariant δ(m1,⋯,mk), Ricci curvature, Riemannian invariant Θk(2≤k≤m), the scalar curvature and the squared of the mean curvature for submanifolds of generalized Sasakian-space-forms endowed with a quarter-symmetric connection. As an application of the obtain inequality, we first derived the Chen inequality for the bi-slant submanifold of generalized Sasakian-space-forms.

show abstract

Section: Introductionmentioning

confidence: 99%