2 citations · 2 across the 1 of their papers we have counts for
5 papers
The geometry of finite order jets of submanifolds and the variational formalism
Gianni Manno, Raffaele Vitolo
We study the geometry of jets of submanifolds with special interest in the relationship with the calculus of variations. We give a new proof of the fact that higher order jets of s…
Finite order formulation of Vinogradov's C-spectral sequence
R. Vitolo
The C-spectral sequence was introduced by Vinogradov in the late Seventies as a fundamental tool for the study of algebro-geometric properties of jet spaces and differential equati…
On a class of polynomial Lagrangians
M. Palese, R. Vitolo
In the framework of finite order variational sequences a new class of Lagrangians arises, namely, \emph{special} Lagrangians. These Lagrangians are the horizontalization of forms o…
Comparison between Geometric Quantisation and Covariant Quantum Mechanics
M. Modugno, C. Tejero Prieto, R. Vitolo
We compare the covariant formulation of Quantum Mechanics on a curved spacetime fibred on absolute time with the standard Geometric Quantisation.
On finite order variational sequences
R. Vitolo
We discuss intrinsic aspects of Krupka's approach to finite-order variational sequences. We give intrinsic isomorphisms of the quotient subsheaves of the short finite-order variati…