It is a commonplace in the philosophy of physics that any local physical theory can be
represented using arbitrary coordinates, simply by using tensor calculus. On the other hand …

We study the Lie algebras of the covariant representations transforming the matter fields
under the de Sitter isometries. We point out that the Casimir operators of these …

We show how conformal gravity (CG) has to satisfy a fine-tuning condition in order to be able
to describe galactic rotation curves without the aid of dark matter, as suggested in the …

Starting from the general concept of a Lie derivative of an arbitrary differentiable map, we
develop a systematic theory of Lie differentiation in the framework of reductive G-structures P …

The boundary structure of $3+ 1$-dimensional gravity (in the Palatini-Cartan formalism)
coupled to to gauge (Yang-Mills) and matter (scalar and spinorial) fields is described …

Generalized symmetries are introduced in a geometrical and global formalism. Such a
framework applies naturally to field theories and specializes to mechanics. Generalized …

Reductive G-structures on a principal bundle Q are considered. It is shown that these
structures, ie reductive G-subbundles P of Q, admit a canonical decomposition of the pull …

Abstract Starting from the SO (2, 2n) Chern–Simons form in (2n+ 1) dimensions, we
calculate the variation of conserved quantities in Lovelock gravity and Lovelock–Maxwell …

We try to give hereafter an answer to some open questions about the definition of conserved
quantities in Chern–Simons theory, with particular reference to Chern–Simons AdS 3 …

We consider conformal gravity as a gauge natural theory. We study its conservation laws
and superpotentials. We also consider the Mannheim and Kazanas spherically symmetric …