  The $\Delta-N$ electromagnetic transition form factors are calculated in the
Poincar\'e covariant quark model in three forms of relativistic kinematics.
Addition of $D-$state components to pure $S-$state model wave functions, chosen
so as to reproduce the empirical elastic electromagnetic nucleon form factors
with single constituent currents, brings the calculated $R_{EM}$ ratio for the
$\Delta(1232)\to N\gamma$ transition closer to the empirical values in instant
and point form kinematics. The calculated $R_{SM}$ ratio is insensitive to the
$D-$state component. In front form kinematics the substantial violation of the
angular condition for the spin 3/2 resonance transition amplitude in the
impulse approximation prevents a unique determination of $R_{EM}$ and $R_{SM}$,
both of which are very sensitive to $D-$state components. In no form of
kinematics do $D-$state deformations of the rest frame baryon wave functions
alone suffice for a description of the empirical values of these ratios.
