Casorati Curvatures of Submanifolds in Cosymplectic Statistical Space Forms

被引:8
作者
Malek, Fereshteh [1 ]
Akbari, Haniyeh [1 ]
机构
[1] KN Toosi Univ Technol, Fac Math, Tehran, Iran
关键词
Statistical manifold; Cosymplectic statistical manifold; Generalized normalized delta-Casorati curvature; Scalar curvature; INEQUALITIES; MANIFOLDS;
D O I
10.1007/s41980-019-00331-2
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we obtain two inequalities in statistical submanifolds in cosymplectic statistical manifolds with constant phi-sectional curvature which contain generalized normalized delta-Casorati curvatures (extrinsic invariants) and the scalar curvature (intrinsic invariants). We also investigate the equality cases.
引用
收藏
页码:1389 / 1403
页数:15
相关论文
共 17 条
[1]  
Amari S-i., 2012, Differential-Geometrical Methods in Statistics, Vvol 28
[2]   Generalized Wintgen inequality for statistical submanifolds in statistical manifolds of constant curvature [J].
Aydin, M. Evren ;
Mihai, Adela ;
Mihai, Ion .
BULLETIN OF MATHEMATICAL SCIENCES, 2017, 7 (01) :155-166
[3]   Some Inequalities on Submanifolds in Statistical Manifolds of Constant Curvature [J].
Aydin, Muhittin Evren ;
Mihai, Adela ;
Mihai, Ion .
FILOMAT, 2015, 29 (03) :465-476
[4]  
Blair D.E., 1977, Simon Stevin, V51, P3
[5]  
Casorati F., 1890, Acta Math., V14, P95, DOI [DOI 10.1007/BF02413317, 10.1007/BF02413317]
[6]   SOME PINCHING AND CLASSIFICATION-THEOREMS FOR MINIMAL SUBMANIFOLDS [J].
CHEN, BY .
ARCHIV DER MATHEMATIK, 1993, 60 (06) :568-578
[7]  
Decu S., 2007, Bull. Transylv. Univ. Brasov. Ser.B, V14, P85
[8]   Curvature Invariants of Statistical Submanifolds in Kenmotsu Statistical Manifolds of Constant φ-Sectional Curvature [J].
Decu, Simona ;
Haesen, Stefan ;
Verstraelen, Leopold ;
Vilcu, Gabriel-Eduard .
ENTROPY, 2018, 20 (07)
[9]  
Furuhata H., 2016, Geometry of Cauchy-Riemann Submanifolds, P179
[10]   Kenmotsu statistical manifolds and warped product [J].
Furuhata H. ;
Hasegawa I. ;
Okuyama Y. ;
Sato K. .
Journal of Geometry, 2017, 108 (3) :1175-1191