  We have analyzed the results of reactor and accelerator neutrino oscillation
experiments in the framework of a general model with mixing of three neutrino
fields and a neutrino mass hierarchy that can accommodate the results of the
solar neutrino experiments. It is shown that $ \nu_\mu \leftrightarrows \nu_e $
oscillations with $ 0.6 \le \Delta m^2 \le 100 \, \mathrm{eV}^2 $ and amplitude
larger than $ 2 \times 10^{-3} $ are not compatible with the existing limits on
neutrino oscillations if the non-diagonal elements of the mixing matrix $
\left| U_{e3} \right| $ and $ \left| U_{\mu3} \right| $ are small. Thus, if the
excess of electron events recently observed in the LSND experiment is due to $
\nu_\mu \leftrightarrows \nu_e $ oscillations, the mixing in the lepton sector
is basically different from the CKM mixing of quarks. If this type of mixing is
realized in nature, the observation of $ \nu_\mu \leftrightarrows \nu_e $
oscillations would not influence $ \nu_\mu \leftrightarrows \nu_\tau $
oscillations that are being searched for in the CHORUS and NOMAD experiments.
