Conformally-projectively flat trans-Sasakian statistical manifolds

被引：9

作者：

Kazan, Ahmet ^{[1
]}

机构：

[1] Malatya Turgut Ozal Univ, Dogansehir Vahap Kucuk Vocat Sch Higher Educ, Dept Comp Technol, Malatya, Turkey

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2019年 / 535卷

关键词：

Trans-Sasakian manifolds; Statistical manifolds; Dual connection; Conformal-projective curvature tensor; CURVATURE;

D O I：

10.1016/j.physa.2019.122441

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this study, the notion of trans-Sasakian statistical manifold is defined, some results for this manifold's curvature tensors are given, an example of 3-dimensional trans-Sasakian statistical manifold is constructed and some characterizations about xi-conformal-projective flatness of a trans-Sasakian statistical manifold are given. (C) 2019 Elsevier B.V. All rights reserved.

引用

页数：13

共 26 条

[11] ON LORENTZIAN TRANS-SASAKIAN MANIFOLDS [J].

De, U. C. ;

De, Krishnendu .

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2013, 62 (02) :37-51

[12] Kenmotsu statistical manifolds and warped product [J].

Furuhata H. ;

Hasegawa I. ;

Okuyama Y. ;

Sato K. .

Journal of Geometry, 2017, 108 (3) :1175-1191

[13] Sasakian statistical manifolds [J].

Furuhata, Hitoshi ;

Hasegawa, Izumi ;

Okuyama, Yukihiko ;

Sato, Kimitake ;

Shahid, Mohammad Hasan .

JOURNAL OF GEOMETRY AND PHYSICS, 2017, 117 :179-186

[14] Hypersurfaces in statistical manifolds [J].

Furuhata, Hitoshi .

DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2009, 27 (03) :420-429

[15] Notions of the ergodic hierarchy for curved statistical manifolds [J].

Gomez, Ignacio S. .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2017, 484 :117-131

[16]

Kazan S., 2018, Universal Journal of Mathematics and Applications, V1, P226

[17]

Kurose T., 2002, INTERDISCIP INFORM S, V8, P89

[18]

Min C.R., 2016, ARXIV160801107V1MATH

[19] SYMPLECTIC STRUCTURES ON STATISTICAL MANIFOLDS [J].

Noda, Tomonori .

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2011, 90 (03) :371-384

[20]

Opozda B., 2015, ARXIV150401279V1MATH

← 1 2 3 →