• Corpus ID: 211677879

Chen's inequalities for submanifolds in $(\kappa,\mu)$-contact space form with generalized semi-symmetric non-metric connections

@article{Wang2020ChensIF,
  title={Chen's inequalities for submanifolds in \$(\kappa,\mu)\$-contact space form with generalized semi-symmetric non-metric connections},
  author={Yong Wang},
  journal={arXiv: Differential Geometry},
  year={2020}
}
  • Yong Wang
  • Published 29 February 2020
  • Mathematics
  • arXiv: Differential Geometry
In this paper, we obtain Chen's inequalities for submanifolds in $(\kappa,\mu)$-contact space form with two kinds of generalized semi-symmetric non-metric connections. 

References

SHOWING 1-10 OF 39 REFERENCES

Chen’s Inequalities for Submanifolds in (k, µ)-Contact Space Form with a Semi-Symmetric Non-Metric Connection

In this paper, we obtain Chen’s inequalities in (k, μ)-contact space form with a semi-symmetric non-metric connection. Also we obtain the inequalites for Ricci and K-Ricci curvatures.

Chen’s inequalities for submanifolds in (κ, μ)-contact space form with a semi-symmetric metric connection

Abstract In this paper, we obtain Chen’s inequalities for submanifolds in (κ, μ)-contact space form endowed with a semi-symmetric metric connection.

Chen Inequalities for Submanifolds of Real Space Forms with a Semi-Symmetric Non-Metric Connection

Abstract In this paper we prove Chen inequalities for submanifolds of real space forms endowed with a semi-symmetric non-metric connection, i.e., relations between the mean curvature associated with

CHEN'S INEQUALITIES FOR SUBMANIFOLDS OF A RIEMANNIAN MANIFOLD OF QUASI-CONSTANT CURVATURE WITH A SEMI-SYMMETRIC METRIC CONNECTION

In this paper, we obtain Chen's inequalities for submanifolds of a Riemannian manifold of quasi-constant curvature endowed with a semi-symmetric metric connection. Also, some results of A. Mihai and

Optimal inequalities for the normalized δ-Casorati curvatures of submanifolds in Kenmotsu space forms

Abstract In this paper, we establish two sharp inequalities for the normalized δ-Casorati curvatures of submanifolds in a Kenmotsu space form, tangent to the structure vector field of the ambient

Inequalities for submanifolds of a Riemannian manifold of nearly quasi-constant curvature with a semi-symmetric non-metric connection

By using two new algebraic lemmas we obtain Chen’s inequalities for submanifolds of a Riemannian manifold of nearly quasi-constant curvature endowed with a semi-symmetric non-metric connection.

Casorati Inequalities for Submanifolds in a Riemannian Manifold of Quasi-Constant Curvature with a Semi-Symmetric Metric Connection

TLDR
Two Casorati inequalities are established for submanifolds in a Riemannian manifold of quasi-constant curvature with a semi-symmetric metric connection, which generalize inequalities obtained by Lee et al.

Some pinching and classification theorems for minimal submanifolds

By BANG-YEN CHEN 1. Introduction. Let x: M -* E" be an immersion from an n-dimensional (n > 0) mani- fold into a Euclidean re, space. Denote by A the Laplacian operator of M with respect to the

Some basic inequalities for submanifolds of nearly quasi-constant curvature manifolds

Certain basic inequalities involving the squared mean curva- ture and one of the Ricci curvature, the scalar curvature and the sectional curvature for a submanifold of quasi-constant curvature

Inequalities for the Casorati curvatures of real hypersurfaces in some Grassmannians

In this paper we obtain two types of optimal inequalities consisting of the normalized scalar curvature and the generalized normalized $\delta$-Casorati curvatures for real hypersurfaces of complex