HORIZONTAL LIFTS OF THE GOLDEN STRUCTURES FROM A MANIFOLD TO ITS TANGENT BUNDLE

被引：0

作者：

Verma, Geeta ^{[1
]}

Shukla, Prashant K. ^{[1
]}

机构：

[1] Shri Ramswaroop Mem Grp Profess Coll, Dept Math, Lucknow, India

来源：

FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS | 2023年 / 38卷 / 01期

关键词：

golden structure; tangent bundle; vertical lift; horizontal lift; almost ana-lytic vector field; projection tensor; Nijenhuis tensor; Lie derivative; SYMMETRIC NONMETRIC CONNECTION; METALLIC STRUCTURE;

D O I：

10.22190/FUMI221012007V

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The present paper aims to investigate 'the horizontal lift' of J satisfying J2 - J - I = 0 and demonstrate its status as a type of golden structure. The Nijenhuis tensor N* of the horizontal lift JH on the tangent bundle is determined. Also, a tensor field J & SIM; of type (1,1) is studied and shown to be golden structure on the tangent bundle. Furthermore, several conclusions regarding the Nijenhuis tensor and the Lie derivative of the golden structure J & SIM; on the tangent bundle are deduced. Moreover, a study is done on the golden structure J & SIM; on the tangent bundle that is equipped with projection operators l & SIM; and & SIM;m. Finally, we construct an example of it.

引用

页码：97 / 107

页数：11

共 50 条

[1] LIFTS OF GOLDEN STRUCTURES ON THE TANGENT BUNDLE
Verma, Geeta
FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2021, 36 (03): : 643 - 650
[2] Alternative Equations for Horizontal Lifts of the Metallic Structures from Manifold onto Tangent Bundle
Khan, Mohammad Nazrul Islam
Choudhary, Majid Ali
Chaubey, Sudhakar K.
JOURNAL OF MATHEMATICS, 2022, 2022
[3] HORIZONTAL LIFTS FROM A MANIFOLD TO ITS COTANGENT BUNDLE
YANO, K
PATTERSO.EM
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 1967, 19 (02) : 185 - +
[4] Lifts of a Quarter-Symmetric Metric Connection from a Sasakian Manifold to Its Tangent Bundle
Khan, Mohammad Nazrul Islam
De, Uday Chand
Velimirovic, Ljubica S.
MATHEMATICS, 2023, 11 (01)
[5] VERTICAL AND COMPLETE LIFTS FROM A MANIFOLD TO ITS COTANGENT BUNDLE
YANO, K
PATTERSO.EM
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 1967, 19 (01) : 91 - +
[6] HORIZONTAL LIFT METRIC ON THE TANGENT BUNDLE OF A WEYL MANIFOLD
Altunbas, Murat
FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2021, 36 (04): : 895 - 901
[7] On Complete, Horizontal and Vertical Lifts From a Manifold With fx (6, 4) Structure to Its Cotangent Bundle
Kankarej, Manisha M.
Singh, Jai Pratap
INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2022, 20
[8] Structures in a differentiable manifold and their applications to the tangent bundle
Khan, Mohammad Nazrul Islam
Ansari, Gufran Ahmad
Adhoni, Zameer Ahmad
ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2020, (44): : 124 - 133
[9] Structures in a differentiable manifold and their applications to the tangent bundle
Khan, Mohammad Nazrul Islam
Ansari, Gufran Ahmad
Adhoni, Zameer Ahmad
Italian Journal of Pure and Applied Mathematics, 2020, 44 : 124 - 133
[10] Horizontal lifts of projectable linear connection to semi-tangent bundle
Yildirim, Furkan
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2021, 50 (06): : 1709 - 1721

← 1 2 3 4 5 →