General relativity at the turn of the third millennium.
Geometrical background for the unified field theories : the Einstein-Cartan theory over a principal fibre bundle
Geometrodynamics of some non-relativistic incompressible fluids.
In some previous papers [1, 2] we proposed a geometric formulation of continuum mechanics, where a continuous body is seen as a suitable differentiable fiber bundle C on the Galilean space-time M, beside a differential equation of order k, Ek(C), on C and the assignement of a frame Psi on M. This approach allowed us to treat continuum mechanics as a unitary field theory and to consider constitutive and dynamical properties in a more natural way. Further, the particular intrinsic geometrical framework...
Geometrodynamics of wormholes
Gli universi ipersferici, il gruppo conforme ed il campo gravitazionale di Newton.
Ground states of supersymmetric matrix models
We consider supersymmetric matrix Hamiltonians. The existence of a zero-energy bound state, in particular for the model, is of interest in M-theory. While we do not quite prove its existence, we show that the decay at infinity such a state would have is compatible with normalizability (and hence existence) in . Moreover, it would be unique. Other values of , where the situation is somewhat different, shall also be addressed. The analysis is based on a Born-Oppenheimer approximation. This seminar...