  Within the recently developed Lorentz invariant approach to neutrino spin and
flavour oscillations the following four new effects are discussed: 1) neutrino
spin oscillations in different electromagnetic field configurations, 2)
neutrino spin precession and oscillations stimulated by weak interaction with
background matter without presence of electromagnetic fields, 3) the
significant shift of neutrino spin and flavour oscillation resonances by matter
moving with relativistic speed, if compared with the case of non-moving matter,
4) the new mechanism of electromagnetic radiation by neutrino moving in
background matter and/or electromagnetic fields.
