Searches for CP Violation and ππ S-Wave in the Dalitz-Plot Analysis of D0 --> π+π-π0

In e+e- collisions recorded using the CLEO II.V detector we have studied the Cabibbo suppressed decay of D0 -> pi+pi-pi0 with the initial flavor of the D0 tagged by the decay D*+ -> D0pi+. We use the Dalitz-plot analysis technique to measure the resonant substructure in this final state and observe \rho\pi and non-resonant contributions by fitting for their amplitudes and relative phases. We describe the pipi S-wave with a K-matrix formalism and limit this contribution to the rate to be < 2.5% @95% confidence level, in contrast to the large rate observed in D+ -> pi+pi-pi+ decay. Using the amplitudes and phases from this analysis, we calculate an integrated CP asymmetry of 0.01^{+0.09}_{-0.07} +/- 0.05.