Chen’s first inequality for hemi-slant warped products in nearly trans-Sasakian manifolds
-
Siraj Uddin
,
Lamia S. Alqahtani
Abstract
In this paper, we prove that every hemi-slant warped product submanifold of the form Nθ ×f N⊥ in a nearly trans-Sasakian manifold M͠ satisfies the following inequality: ∥h∥2 ≥ n2cot2θ(∥∇̂(ln f)∥2 – β2), whereas the warped product by reversing these two factors, i.e., N⊥ ×f Nθ satisfying the inequality:
Acknowledgement
The authors are grateful to the referee for his/her valuable suggestions and critical comments which improve the quality and presentation of this paper in the present form.
Communicated by Július Korbaš
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Artikel in diesem Heft
- Regular Papers
- Generalized hyperharmonic number sums with reciprocal binomial coefficients
- Gini index on generalized r-partitions
- Multiplicative functions of special type on Piatetski-Shapiro sequences
- Strengthenings of Young-type inequalities and the arithmetic geometric mean inequality
- Generalizations of the steffensen integral inequality for pseudo-integrals
- Subordination-implication problems concerning the nephroid starlikeness of analytic functions
- Boundedness and almost periodicity of solutions of linear differential systems
- On variational approaches for fractional differential equations
- Approximity of asymmetric metric spaces
- Approximation theorems for the new construction of Balázs operators and its applications
- On η-biharmonic hypersurfaces in pseudo-Riemannian space forms
- Chen’s first inequality for hemi-slant warped products in nearly trans-Sasakian manifolds
- Induced mappings on symmetric products of Hausdorff spaces
- The Teissier-G family of distributions: Properties and applications
- A new extension of the beta generator of distributions
- A new family of compound exponentiated logarithmic distributions with applications to lifetime data
- On two correlated linear models with common and different parameters
- On some applications of Duhamel operators
