The automorphisms of all four-dimensional, real Lie algebras are presented in a
comprehensive way. Their action on the space of 4× 4, real, symmetric and positive definite …

In this paper, the quantization of the most general Bianchi Type I geometry, with and without
a cosmological constant, is considered. In the spirit of identifying and subsequently …

An invariant description of Bianchi Homogeneous (BH) 3-spaces is presented, by
considering the action of the Automorphism Group on the configuration space of the real …

A first-order Lagrangian L∇ variationally equivalent to the second-order Einstein-Hilbert
Lagrangian is introduced. Such a Lagrangian depends on a symmetric linear connection …

Symmetries and, in particular, Cartan (Noether) symmetries and conserved quantities
(conservation laws) are studied for the multisymplectic formulation of first and second order …

Abstract Let M→N (resp. C→N) be the fibre bundle of pseudo-Riemannian metrics of a given
signature (resp. the bundle of linear connections) on an orientable connected manifold N. A …

We construct the moduli space of r-jets of Riemannian metrics at a point on a smooth
manifold. The construction is closely related to the problem of classification of metric jets via …

On the structure of the moduli of jets of G-structures with a linear connection - ScienceDirect
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Differential Invariants and Symmetry: Riemannian Metrics and Beyond Page 1 ISSN 1995-0802,
Lobachevskii Journal of Mathematics, 2015, Vol. 36, No. 3, pp. 292–297. c Pleiades Publishing …

In a natural way, the local diffeomorphisms of a manifold onto itself act on the reference
frame bundles of any order and on the bundles associated with them. Due to the transitivity …