44 citations · 106 across the 9 of their papers we have counts for
9 papers
Smooth and F--smooth systems
Josef Janyška, Marco Modugno
We review the geometric theory of \emp{smooth systems of smooth maps}, of \emp{smooth systems of smooth sections} of a smooth double fibred manifold and of \emp{smooth systems of s…
Geometric structures of the classical general relativistic phase space
Josef Janyška, Marco Modugno
This paper is concerned with basic geometric properties of the phase space of a classical general relativistic particle, regarded as the 1st jet space of motions, i.e. as the 1st j…
Generalized geometrical structures of odd dimensional manifolds
Josef Janyška, Marco Modugno
We define an almost--cosymplectic--contact structure which generalizes cosymplectic and contact structures of an odd dimensional manifold. Analogously, we define an almost--coPoiss…
Semi--vector spaces and units of measurement
Josef Janyška, Marco Modugno, Raffaele Vitolo
This paper is aimed at introducing an algebraic model for physical scales and units of measurement. This goal is achieved by means of the concept of ``positive space'' and its rati…
A covariant approach to the quantisation of a rigid body
M. Modugno, C. Tejero Prieto, R. Vitolo
This paper concerns the quantisation of a rigid body in the framework of ``covariant quantum mechanics'' on a curved spacetime with absolute time. The basic idea is to consider the…
The geometry of Newton's law and rigid systems
M. Modugno, R. Vitolo
We start by formulating geometrically the Newton's law for a classical free particle in terms of Riemannian geometry, as pattern for subsequent developments. In fact, we use this s…