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