9 citations · 18 across the 5 of their papers we have counts for
5 papers
Geometric integration by parts and Lepage equivalents
Marcella Palese, Olga Rossi, Fabrizio Zanello
We compare the integration by parts of contact forms - leading to the definition of the interior Euler operator - with the so-called canonical splittings of variational morphisms.…
Shape maps for second order partial differential equations
O. Rossi, D. J. Saunders, G. E. Prince
We analyse the singularity formation of congruences of solutions of systems of second order PDEs via the construction of \emph{shape maps}. The trace of such maps represents a cong…
Variational Sequences, Representation Sequences and Applications in Physics
Marcella Palese, Olga Rossi, Ekkehart Winterroth +1
This paper is a review containing new original results on the finite order variational sequence and its different representations with emphasis on applications in the theory of var…
Tangent bundle geometry induced by second order partial differential equations
D. J. Saunders, O. Rossi, G. E. Prince
We show how the tangent bundle decomposition generated by a system of ordinary differential equations may be generalized to the case of a system of second order PDEs `of connection…
The relativistic mechanics in a nonholonomic setting: A unified approach to particles with non-zero mass and massless particles
Olga Krupkova, Jana Musilova
A new approach to relativistic mechanics is proposed, suitable to describe dynamics of different kinds of relativistic particles. Mathematically it is based on an application of th…