means that these two metrics are congruent, however in a real sample they might be different from one another, thus lifting the rotational invariance.

It turns out, however, that a given FQH state also possesses an intrinsic metric that is derived from the two types introduced above. FQH fluids can be described as condensates of composite bosons [@zhk], which are topological objects that explain the quantization of the Hall conductance and the emergence of fractionally-charged quasiparticles. However, apart from topology, composite bosons also have a geometrical degree of freedom – the intrinsic metric that controls their *shape*. In a rotationally invariant case, the intrinsic metric is equal to the metric in the Hamiltonian; more generally, as we explicitly demonstrate below, the shape of composite bosons can be defined even in systems without rotational invariance. The fluctuation of the intrinsic metric plays an important role for the geometrical field theory of the FQHE [@duncan_unpublished], and determines the energetics of quasiparticles, collective modes etc. Generalizations of the Laughlin wavefunction to the broken-rotational-symmetry case have been proposed for liquid crystal and nematic Hall phases [@ciftja], and very recently Laughlin and Moore-Read wavefunctions (as well as their parent Hamiltonians) have been formulated for the 