Effects of neutrino oscillations on the Supernova signal in LVD

We study the impact of neutrino oscillations on the supernova neutrino signal in the Large Volume Detector (LVD). The number of expected events for a galactic supernova ($D=10$ Kpc) is calculated, assuming neutrino masses and mixing that explain solar and atmospheric neutrino results. The possibility to detect neutrinos in different channels makes LVD sensitive to different scenarios for $\nu$ properties, such as normal or inverted $\nu$ mass hierarchy, and/or adiabatic or non adiabatic MSW resonances associated to $U_{\rm e3}.$ Of particular importance are the charged current (c.c.) reactions on $^{12}{\rm C}$: oscillations increase by almost one order of magnitude the number of events expected from this channel. %We study the implications on the supernova neutrino signal in liquid %scintillator detectors due to the discovery of neutrino oscillations in %atmospheric and solar neutrinos.\\ %The combined detection of neutrinos through different interaction channels %can help to distinguish between direct or inverse mass hierarchy and between %adiabatic or non adiabatic conditions at the resonance %($U_{\rm e3}^2\ll\gg 5\cdot 10^{-4}$).