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
收藏
页码：97 / 107
页数：11
相关论文
共 50 条
  • [31] The ciconia metric on the tangent bundle of an almost Hermitian manifold
    R. Albuquerque
    Annali di Matematica Pura ed Applicata (1923 -), 2020, 199 : 969 - 984
  • [32] Liftings from a Para-Sasakian manifold to its tangent bundles
    Khan, Mohammad Nazrul Islam
    FILOMAT, 2023, 37 (20) : 6727 - 6740
  • [33] Novel theorems for the frame bundle endowed with metallic structures on an almost contact metric manifold
    Khan, Mohammad Nazrul Islam
    CHAOS SOLITONS & FRACTALS, 2021, 146
  • [34] Lifts of a Semi-Symmetric Metric Connection from Sasakian Statistical Manifolds to Tangent Bundle
    Kumar, Rajesh
    Shenawy, Sameh
    Turki, Nasser Bin
    Colney, Lalnunenga
    De, Uday Chand
    MATHEMATICS, 2024, 12 (02)
  • [35] Complete and horizontal lifts of Metallic structures
    Khan, Mohammad Nazrul Islam
    INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE, 2020, 15 (04): : 983 - 992
  • [36] Prolongations of Golden Structure to Tangent Bundle of Order 2
    Ozkan, Mustafa
    Citlak, Ayse Asuman
    Taylan, Emel
    GAZI UNIVERSITY JOURNAL OF SCIENCE, 2015, 28 (02): : 253 - 258
  • [37] PROLONGATIONS OF GOLDEN STRUCTURES TO TANGENT BUNDLES OF ORDER r
    Ozkan, Mustafa
    Yilmaz, Fatma
    COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2016, 65 (01): : 35 - 47
  • [38] A pseudo-Riemannian metric on the tangent bundle of a Riemannian manifold
    Eni, Cristian
    BALKAN JOURNAL OF GEOMETRY AND ITS APPLICATIONS, 2008, 13 (02): : 35 - 42
  • [39] A NEW CLASS OF RIEMANNIAN METRICS ON TANGENT BUNDLE OF A RIEMANNIAN MANIFOLD
    Baghban, Amir
    Sababe, Saeed Hashemi
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2020, 35 (04): : 1255 - 1267
  • [40] Novel theorems for the cotangent bundle endowed with metallic structures on a differentiable manifold
    Khan, Mohammad Nazrul Islam
    Fatima, Nahid
    HELIYON, 2024, 10 (11)
12345