34 citations · 84 across the 35 of their papers we have counts for
5 papers · 1 filter
Jets and connections in commutative and noncommutative geometry
L. Mangiarotti, G. Sardanashvily
It is emphasized that equivalent definitions of connections on modules over commutative rings are not so in noncommutative geometry.
Nonrelativistic Geodesic Motion
L. Mangiarotti, G. Sardanashvily
We show that any second order dynamic equation on a configuration space of nonrelativistic mechanics can be seen as a geodesic equation with respect to some (nonlinear) co…
Constraints in Hamiltonian time-dependent mechanics
G. Giachetta, L. Mangiarotti, G. Sardanashvily
In Hamiltonian time-dependent mechanics, the Poisson bracket does not define dynamic equations, that implies the corresponding peculiarities of describing time-dependent holonomic…
On the bracket problem in covariant Hamiltonian field theory
L. Mangiarotti, G. Sardanashvily
The polysymplectic phase space of covariant Hamiltonian field theory can be provided with the current algebra bracket.
On the geometric arena of supermechanics
G. Sardanashvily
In the case of simple graded manifolds utilized in supermechanics, supervector fields and exterior superforms are represented by global sections of smooth vector bundles.