Liftings from a Para-Sasakian manifold to its tangent bundles

被引：10

作者：

Khan, Mohammad Nazrul Islam ^{[1
]}

机构：

[1] Qassim Univ, Coll Comp, Dept Comp Engn, Buraydah 51452, Saudi Arabia

来源：

FILOMAT | 2023年 / 37卷 / 20期

关键词：

Complete lift; Tangent bundle; Differential equations; Para-Sasakian manifold; Quarter-symmetric connection; Nonlin-ear equations; Partial differential equations; SYMMETRIC NONMETRIC CONNECTION; SPACE;

D O I：

10.2298/FIL2320727K

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of the present paper is to study the liftings of a quarter symmetric non-metric connection from a para-Sasakian manifold to its tangent bundles. By liftings, some results of the curvature tensor, projective curvature tensor, concircular curvature tensor and conformal curvature tensor wrt a quarter symmetric non-metric connection in a P-Sasakian manifold to its tangent bundles are obtained.

引用

页码：6727 / 6740

页数：14

共 46 条

[41] 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
[42] Complete lifts of a semi-symmetric metric P-connection on a Riemannian manifold to its tangent bundle
Khan, Mohammad Nazrul Islam
INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE, 2022, 17 (02): : 909 - 916
[43] Para-Sasakian manifolds and ∗\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$*$$\end{document}-Ricci solitons
D. G. Prakasha
P. Veeresha
Afrika Matematika, 2019, 30 (7-8) : 989 - 998
[44] η\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\eta}$$\end{document}-Ricci solitons on para-Sasakian manifolds
D. G. Prakasha
B. S. Hadimani
Journal of Geometry, 2017, 108 (2) : 383 - 392
[45] Para-Sasakian ϕ-\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\phi -$$\end{document}symmetric spaces
Eugenia Loiudice
Annals of Global Analysis and Geometry, 2025, 67 (1)
[46] 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

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