关于四阶常微分方程的 GL(2,R) 几何的评论
微分几何
2007-10-10 v1
作者:
Pawel Nurowski
摘要
我们利用某个 gl(2,R) 值联络的 Ricci 张量，描述了满足 Bryant 提出的两个接触不变条件的四阶常微分方程 (ODEs)。我们还提供了此类 ODEs 的非齐次例子。
引用
@article{arxiv.0710.1658,
title = {Comment on GL(2,R) geometry of 4th order ODEs},
author = {Pawel Nurowski},
journal= {arXiv preprint arXiv:0710.1658},
year = {2007}
}
相关论文
查看更多相关论文 →
微分几何 · 数学
GL(2,R) geometry of ODE's
Michal Godlinski, Pawel Nurowski
2007-10-02
广义相对论与量子宇宙学 · 物理学
Projective connections associated with second order ODEs
Ezra T Newman, Pawel Nurowski
2007-05-23
经典分析与常微分方程 · 数学
Equivalence and integrability of second order linear ODEs
Ivan Tsyfra, Tomasz Czyzycki
2010-01-19
微分几何 · 数学
GL(2, R) structures, G_2 geometry and twistor theory
Maciej Dunajski, Michal Godlinski
2012-02-22
代数几何 · 数学
Multi-focal tensors as invariant differential forms
James Mathews
2016-10-17
动力系统 · 数学
High rank invariant subvarieties
Paul Apisa, Alex Wright
2021-02-15
微分几何 · 数学
Paraconformal geometry of $n$th order ODEs, and exotic holonomy in dimension four
Maciej Dunajski, Paul Tod
2009-11-11
高能物理 - 理论 · 物理学
Octonionic Representations of GL(8,R) and GL(4,C)
Stefano De Leo, Khaled Abdel-Khalek
2009-10-30
组合数学 · 数学
On some combinatorial sequences associated to invariant theory
Alin Bostan, Jordan Tirrell, Bruce W. Westbury, Yi Zhang
2022-04-21
表示论 · 数学
Invariant tensors and graphs
Martin Markl
2009-08-12
广义相对论与量子宇宙学 · 物理学
Cartan Normal Conformal Connections from Pairs of 2nd Order PDE's
Emanuel Gallo, Carlos Kozameh, Ezra T. Newman, Kiplin Perkins
2009-11-10
高能物理 - 理论 · 物理学
Gauge invariant Lagrangian for non-Abelian tensor gauge fields of fourth rank
G. Savvidy, T. Tsukioka
2008-11-26
数学物理 · 物理学
Invariants of Lie algebras
Jiří Hrivnák
2015-06-23
微分几何 · 数学
Parabolic quasi-contact cone structures with an infinitesimal symmetry
Omid Makhmali, Katja Sagerschnig
2026-04-03
微分几何 · 数学
Four-dimensional Riemannian manifolds with two circulant structures
Dimitar Razpopov
2017-09-20
广义相对论与量子宇宙学 · 物理学
On the compatibility of Lorentz-metrics with linear connections on 4-dimensional manifolds
G. S. Hall, D. P. Lonie
2009-11-11
环与代数 · 数学
Defining Relations of Low Degree of Invariants of Two $4 \times 4$ Matrices
Vesselin Drensky, Roberto La Scala
2007-08-28
微分几何 · 数学
Low-order geometric actions with fields a metric and a matter field of arbitrary rank (undergraduate honors thesis)
Daniel Leeco Stern
2014-09-22
数学物理 · 物理学
Galilea relativity and its invariant bilinear forms
Herintsitohaina Ratsimbarison
2007-05-23
微分几何 · 数学
On a new incomplete Ricci-flat metric
Evgeny Malkovich
2019-04-05
综合数学 · 数学
Linearization Problem for Third-Order ODEs with Four- and Five-Dimensional Lie Symmetry Algebras under Contact Transformations
Omar A. Abuloha, Marwan Aloqeili, Ahmad Y. Al-Dweik, F. M. Mahomed
2026-05-11
数学物理 · 物理学
On contact symmetries of evolution equations
Qing Huang, Renat Zhdanov, Changzheng Qu
2013-01-11
微分几何 · 数学
Linear connections and shape maps for second order ODEs with and without constraints
G. E. Prince, M. Farré Puiggalí, D. J. Saunders, D. Martín de Diego
2021-10-27
组合数学 · 数学
On tensor products of polynomial representations
Kevin Purbhoo, Stephanie van Willigenburg
2019-08-15
广义相对论与量子宇宙学 · 物理学
Alignment and algebraically special tensors in Lorentzian geometry
R. Milson, A. Coley, V. Pravda, A. Pravdova
2008-11-26