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The recoil proton polarization in the $\pi^0$ production off the proton withlongitudinally polarized electron beam has been studied as a means to measurequadrupole components in the N to $\Delta$ transition. On top of the $\Delta$resonance a high sensitivity to a possible Coulomb quadrupole excitation isfound in parallel kinematics. The ratio of $S_{1+}/M_{1+}$ multipole amplitudescan be determined from the ratio of the two in-scattering-plane recoil protonpolarization components. Avoiding the absolute measurement of thepolarizations, such a ratio allows small experimental uncertainties.Furthermore, the electron helicity independent proton polarization componentenables the characterization of resonant and non-resonant pieces.Comment: 14 pages, 2 figures, LateX. Submitted to Z.Phys.

Proton polarization in the p(e,e′p)π0 reaction and the measurement of quadrupole components in the N to Δ transition