On moduli spaces for finite-order jets of linear connections

Author:

Gordillo Adrián1,Navarro José1

Affiliation:

1. Universidad de Extremadura, Spain

Abstract

We describe the ringed-space structure of moduli spaces of jets of linear connections (at a point) as orbit spaces of certain linear representations of the general linear group. Then, we use this fact to prove that the only (scalar) differential invariants associated to linear connections are constant functions, as well as to recover various expressions appearing in the literature regarding the dimensions of generic strata of these moduli spaces.

Publisher

National Library of Serbia

Subject

General Mathematics

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. On the existence of the electromagnetic energy tensor in second-order Lovelock gravities;International Journal of Geometric Methods in Modern Physics;2023-09-20

2. On Invariant Operations on a Manifold with a Linear Connection and an Orientation;Mathematics;2021-10-14

3. On the uniqueness of the torsion and curvature operators;Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas;2019-12-21

4. Poincaré Function for Moduli of Differential-Geometric Structures;Moscow Mathematical Journal;2019-11-07

5. A remark on the invariant theory of real Lie groups;Colloquium Mathematicum;2019

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