We examine the prospects for determining the neutrino mixing matrix and for
observing CP and T violation in neutrino oscillations in four-neutrino mod
els. We focus on a general class of four-neutrino models with two pairs of
nearly degenerate mass eigenstates separated by approximately 1 eV, which c
an describe the solar, atmospheric and LSND neutrino data. We present a gen
eral parametrization of these models and discuss In detail the determinatio
n of the mixing parameters and the mass matrix texture from current and fut
ure neutrino data in the case where nu(e) and nu(mu) each mix primarily wit
h one other neutrino. We find that measurable CP or T violation in long-bas
eline experiments, with amplitude at the level of the LSND signal, is possi
ble given current experimental constraints. Also, additional oscillation ef
fects in short- and long-baseline experiments may be measurable in many cas
es. We point put that, given separate scales for the mass-squared differenc
es of the solar and atmospheric oscillations, observable CP or T violation
effects in neutrino oscillations signal the existence of a sterile neutrino
. We examine several textures of the neutrino mass matrix and determine whi
ch textures can have measurable CP or T violation in neutrino oscillations
in long-baseline experiments. We also briefly discuss some possible origins
of the neutrino mass terms in straightforward extensions of the standard m
odel. [S0556-2821(99)00313-6].