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

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