Stellar kinematics provide insights into the masses and formation histories of galaxies .
At high redshifts , spatially resolving the stellar kinematics of quiescent galaxies is challenging due to their compact sizes .
Using deep near-infrared spectroscopy , we have measured the resolved stellar kinematics of four quiescent galaxies at z = 1.95 -2.64 , introduced in Paper I , that are gravitationally lensed by galaxy clusters .
Analyses of two of these have previously been reported individually by Newman et al .
and Toft et al. , and for the latter we present new observations .
All four galaxies show significant rotation and can be classified as “ fast rotators. ” In the three systems for which the lensing constraints permit a reconstruction of the source , we find that all are likely to be highly flattened ( intrinsic ellipticities of \approx 0.75 -0.85 ) disk-dominated galaxies with rapid rotation speeds of V _ { max } = 290 -352 km s ^ { -1 } and predominantly rotational support , as indicated by the ratio ( V/ \sigma ) _ { R _ { e } } = 1.7 -2.3 .
Compared to coeval star-forming galaxies of similar mass , the quiescent galaxies have smaller V / \sigma .
Given their high masses M _ { dyn } \gtrsim 2 \times 10 ^ { 11 } \textrm { M } _ { \sun } , we argue that these galaxies are likely to evolve into “ slow rotator ” elliptical galaxies whose specific angular momentum is reduced by a factor of 5-10 .
This provides strong evidence for merger-driven evolution of massive galaxies after quenching .
Consistent with indirect evidence from earlier morphological studies , our small but unique sample suggests that the kinematic transformations that produced round , dispersion-supported elliptical galaxies were not generally coincident with quenching .
Such galaxies probably emerged later via mergers that increased their masses and sizes while also eroding their rotational support .