The aim of this paper is to present a short historical/scientific review on nonholonomic
mechanics, with special emphasis on the latest developments. Indeed, the use of differential …

Abstract The De Donder-Weyl (DW) covariant Hamiltonian formulation of the Palatini first-
order Lagrangian of vielbein (tetrad) gravity and its precanonical quantization are presented …

The elements of the constrained dynamics algorithm in the De Donder-Weyl (DW)
Hamiltonian theory for degenerate Lagrangian theories are discussed. A generalization of …

We compare Euler–Poincaré reduction in principal fibre bundles, as a constrained
variational problem on the connections of this fibre bundle and constraint defined by the …

Este trabajo recopila la investigación desarrollada y los resultados obtenidos durante mis
cuatro años como becario predoctoral en el Instituto de Ciencias Matemáticas (y …

We propose a first example of a simple classical field theory with nonholonomic constraints.
Our model is a straightforward modification of a Cosserat rod. Based on a mechanical …

Starting from a characterization of admissible Chetaev and vakonomic variations in a field
theory with constraints we show how the so called parametrized variational calculus can …

Invariants associated to a variational problem Page 1 International Journal of Geometric
Methods in Modern Physics Vol. 20, No. 7 (2023) 2350111 (17 pages) c© World Scientific …

This paper sets the scene for discrete variational problems on an abstract cellular complex
that serves as discrete model of Rp and for the discrete theory of partial differential operators …

We introduce the discrete counterpart of the vakonomic method in Lagrangian mechanics
with non-holonomic constraints. After defining the concepts of “admissible section” and …