The Stability Problem of Certain Anti-Invariant Submanifolds in Golden Riemannian Manifolds

被引:1
作者
Gok, Mustafa [1 ]
Kilic, Erol [2 ]
机构
[1] Sivas Cumhuriyet Univ, Dept Design, TR-58140 Sivas, Turkiye
[2] Inonu Univ, Dept Math, TR-44280 Malatya, Turkiye
来源
INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY | 2023年 / 16卷 / 01期
关键词
stability; metallic Riemannian manifold; anti-invariant submanifold; METALLIC SHAPED HYPERSURFACES; SLANT SUBMANIFOLDS;
D O I
10.36890/IEJG.1240437
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this study, we discuss the stability of some anti-invariant submanifolds of golden Riemannian manifolds under certain conditions in terms of the Ricci curvature tensors of the ambient manifold and the submanifold.
引用
收藏
页码:343 / 348
页数:6
相关论文
共 31 条
[1]  
Bahadir O, 2019, J MATH EXT, V13, P23
[2]  
BEJANCU A., 1986, Geometry of CR submanifolds
[3]  
Blaga A.M., 2017, LIBERTAS MATH, V37, P1
[4]  
Blaga A. M., 2014, Sarajevo J. Math., V10, P237
[5]  
Blaga A.M., 2018, NOVI SAD J MATH, V48, P57, DOI [10.30755/NSJOM.06365, DOI 10.30755/NSJOM.06365]
[6]  
Chen B.Y., 1980, TOTALLY GEODESIC SUB, VIII
[7]   DEFORMATIONS OF ISOTROPIC SUBMANIFOLDS IN KAHLER-MANIFOLDS [J].
CHEN, BY ;
MORVAN, JM .
JOURNAL OF GEOMETRY AND PHYSICS, 1994, 13 (01) :79-104
[8]  
Cirnu M., 2009, ACTA U APULENSIS, V20, P63
[9]   Golden differential geometry [J].
Crasmareanu, Mircea ;
Hretcanu, Cristina-Elena .
CHAOS SOLITONS & FRACTALS, 2008, 38 (05) :1229-1238
[10]   Semi-invariant Submanifolds in Metric Geometry of Endomorphisms [J].
Crasmareanu, Mircea ;
Bercu, Gabriel .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES, 2020, 90 (01) :87-92