Linear dispersion relations of low-frequency dust modes have been derived b
y employing the Vlasov kinetic theory for the motions of electrons, ions, a
nd dust particles in a hot and uniformly magnetized dusty plasma. Because o
f the large mass of the dust grains, the finite Larmor radius effects becom
e significant for dust dynamics giving rise to the existence of new low-fre
quency dust modes. The importance of these low-frequency dust modes in dust
coagulation and dust crystallization as well as in dusty plasmas connected
to space and astrophysical situations has been pointed out.