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

页码：343 / 348

页数：6

共 31 条

[21]

Hretcanu CE, 2013, REV UNION MAT ARGENT, V54, P15

[22] Applications of the Golden Ratio on Riemannian Manifolds [J].

Hretcanu, Cristina-Elena ;

Crasmareanu, Mircea-Claudiu .

TURKISH JOURNAL OF MATHEMATICS, 2009, 33 (02) :179-191

[23]

Lawson H.B., 1974, MINIMAL VARIETIES RE

[24] 2ND VARIATION AND STABILITIES OF MINIMAL LAGRANGIAN SUBMANIFOLDS IN KAHLER-MANIFOLDS [J].

OH, YG .

INVENTIONES MATHEMATICAE, 1990, 101 (02) :501-519

[25]

Özgür C, 2017, REV UNION MAT ARGENT, V58, P215

[26] Classification of metallic shaped hypersurfaces in real space forms [J].

Ozgur, Cihan ;

Yilmaz Ozgur, Nihal .

TURKISH JOURNAL OF MATHEMATICS, 2015, 39 (05) :784-794

[27]

Ozkan M., 2014, Differ. Geom. Dyn. Syst., V16, P227

[28]

Pitis Gh., 1986, Kodai Math. J., V9, P327, DOI DOI 10.2996/KMJ/1138037261

[29]

Renteln Paul, 2014, Manifolds, Tensors and Forms

[30]

Yano K., 1984, Structures on Manifolds

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