The terrestrial magnetosheath contains a rich variety of low-frequency
(less than or similar to proton gyrofrequency) fluctuations. Kinetic
and fluid-like processes at the bow shock, within the magnetosheath pl
asma, and at the magnetopause all provide sources of wave energy. The
dominance of kinetic features such as temperature anisotropies, couple
d with the high-P conditions, complicates the wave dispersion and vari
ety of instabilities to the point where mode identification is difficu
lt. We review here the observed fluctuations and attempts to identify
the dominant modes. along with the identification tools. Alfven/ioncyc
lotron and mirror modes are generated by T-perpendicular to/T-parallel
to > 1 temperature anisotropies and dominate when the plasma beta is
low or high, respectively. Slow modes may also be present within a tra
nsition layer close to the subsolar magnetopause, although they are ex
pected to suffer strong damping. All mode identifications are based on
linearized theory in a homogeneous plasma and there are clear indicat
ions, in both the data and in numerical simulations, that nonlinearity
and/or inhomogeneity modify even the most basic aspects of some modes
. Additionally, the determination of the wave vector remains an outsta
nding observational issue which, perhaps, the Cluster mission will ove
rcome.