A gauge theoretical approach to space-time structures
General relativity at the turn of the third millennium.
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.
On the geometry of null cones in Einstein-vacuum spacetimes
Quantum gravity: unification of principles and interactions, and promises of spectral geometry.
Хроногеометрия электромагнитной волны, задаваемой биинвариантной метрикой на группе осциллятора