On Statistical Submanifolds in Manifolds of Quasi-Constant Curvature

被引：0

作者：

Aytimur, Hulya ^{[1
]}

机构：

[1] Balikesir Univ, Dept Math, TR-10145 Balikesir, Turkiye

来源：

INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY | 2023年 / 16卷 / 02期

关键词：

Statistical manifold of quasi-constant curvature; submanifold; Chen inequality; CHEN INEQUALITIES; SHAPE OPERATOR; SPACE-FORMS;

D O I：

10.36890/IEJG.1237417

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We mention some properties of statistical submanifolds in statistical manifolds of quasi-constant curvature. We obtain Chen first inequality and a Chen inequality for the delta (2, 2)-invariant for these manifolds.

引用

页码：672 / 679

页数：8

共 50 条

[31] B. Y. Chen inequalities for submanifolds of a Riemannian manifold of quasi-constant curvature
Ozgur, Cihan
TURKISH JOURNAL OF MATHEMATICS, 2011, 35 (03) : 501 - 509
[32] Geometry and Topology of Spaces of Quasi-constant Curvature
张学山
Northeastern Mathematical Journal, 1998, (04) : 118 - 125
[33] On spacetimes admitting quasi-constant curvature tensor
Demirbag, Sezgin Altay
De, Uday Chand
Zengin, Fusun Ozen
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2024,
[34] Riemannian manifolds of quasi-constant sectional curvatures
Ganchev, G
Mihova, V
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2000, 522 : 119 - 141
[35] Submanifolds of a quasi constant curvature manifold
Sun, HF
PUBLICATIONES MATHEMATICAE-DEBRECEN, 2000, 56 (1-2): : 131 - 139
[36] A Chen First Inequality for Statistical Submanifolds in Hessian Manifolds of Constant Hessian Curvature
Chen, Bang-Yen
Mihai, Adela
Mihai, Ion
RESULTS IN MATHEMATICS, 2019, 74 (04)
[37] General Chen Inequalities for Statistical Submanifolds in Hessian Manifolds of Constant Hessian Curvature
Mihai, Ion
Mihai, Radu-Ioan
MATHEMATICS, 2022, 10 (17)
[38] A Chen First Inequality for Statistical Submanifolds in Hessian Manifolds of Constant Hessian Curvature
Bang-Yen Chen
Adela Mihai
Ion Mihai
Results in Mathematics, 2019, 74
[39] Generalized Wintgen Inequality for Statistical Submanifolds in Hessian Manifolds of Constant Hessian Curvature
Siddiqui, Aliya Naaz
Alkhaldi, Ali Hussain
Alqahtani, Lamia Saeed
MATHEMATICS, 2022, 10 (10)
[40] Casorati Inequalities for Submanifolds in a Riemannian Manifold of Quasi-Constant Curvature with a Semi-Symmetric Metric Connection
Zhang, Pan
Zhang, Liang
SYMMETRY-BASEL, 2016, 8 (04):

← 1 2 3 4 5 →