关于在可微流形上赋予金属结构的余切丛的新定理。
Novel theorems for the cotangent bundle endowed with metallic structures on a differentiable manifold.
作者信息
Khan Mohammad Nazrul Islam, Fatima Nahid
机构信息
Department of Computer Engineering, College of Computer, Qassim University, Buraydah 51452, Saudi Arabia.
Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586 Saudi Arabia.
出版信息
Heliyon. 2024 Jun 3;10(11):e32144. doi: 10.1016/j.heliyon.2024.e32144. eCollection 2024 Jun 15.
Abstract
The present paper aims to study the complete, horizontal and diagonal lifts of metallic structures in the cotangent bundle. Furthermore, the Nijenhuis tensor of a metallic structure is calculated and its integrability conditions by means of partial differential equations are established.
摘要
本文旨在研究余切丛中金属结构的完全提升、水平提升和对角提升。此外，计算了金属结构的尼延胡伊斯张量，并通过偏微分方程建立了其可积性条件。
相似文献
1
Novel theorems for the cotangent bundle endowed with metallic structures on a differentiable manifold.关于在可微流形上赋予金属结构的余切丛的新定理。
Heliyon. 2024 Jun 3;10(11):e32144. doi: 10.1016/j.heliyon.2024.e32144. eCollection 2024 Jun 15.
2
Black-Scholes Theory and Diffusion Processes on the Cotangent Bundle of the Affine Group.仿射群余切丛上的布莱克-斯科尔斯理论与扩散过程
Entropy (Basel). 2020 Apr 17;22(4):455. doi: 10.3390/e22040455.
3
Reformulating scalar-tensor field theories as scalar-scalar field theories using a novel geometry.利用一种新颖的几何结构将标量-张量场论重新表述为标量-标量场论。
Philos Trans A Math Phys Eng Sci. 2022 May 2;380(2222):20210183. doi: 10.1098/rsta.2021.0183. Epub 2022 Mar 14.
4
Geometric approach to Lyapunov analysis in Hamiltonian dynamics.哈密顿动力学中李雅普诺夫分析的几何方法。
Phys Rev E Stat Nonlin Soft Matter Phys. 2001 Dec;64(6 Pt 2):066206. doi: 10.1103/PhysRevE.64.066206. Epub 2001 Nov 27.
5
Rational Recursion Operators for Integrable Differential-Difference Equations.可积微分差分方程的有理递归算子
Commun Math Phys. 2019;370(3):807-851. doi: 10.1007/s00220-019-03548-8. Epub 2019 Aug 19.
6
Differential Galois integrability obstructions for nonlinear three-dimensional differential systems.非线性三维微分系统的微分伽罗瓦可积性障碍
Chaos. 2020 Jan;30(1):013135. doi: 10.1063/1.5128587.
7
Top on a smooth plane.在光滑平面上的顶部。
Chaos. 2024 Apr 1;34(4). doi: 10.1063/5.0200592.
8
Algebraic integrability: a survey.代数可积性：综述
Philos Trans A Math Phys Eng Sci. 2008 Mar 28;366(1867):1203-24. doi: 10.1098/rsta.2007.2066.
9
Reducing integrability error of color tensor gradients for image fusion.降低图像融合中颜色张量梯度的可积性误差。
IEEE Trans Image Process. 2013 Oct;22(10):4072-85. doi: 10.1109/TIP.2013.2270108. Epub 2013 Jun 19.
10
Factors associated with lift equipment use during patient lifts and transfers by hospital nurses and nursing care assistants: A prospective observational cohort study.与医院护士和护理助理在患者举升和转移过程中使用举升设备相关的因素：一项前瞻性观察队列研究。
Int J Nurs Stud. 2019 Mar;91:35-46. doi: 10.1016/j.ijnurstu.2018.11.006. Epub 2018 Dec 31.
Zotero 插件