Results of ail ultrasonic investigation of EuB6 at low temperatures are rep
orted. Both longitudinal and transverse acoustic modes exhibit anomalies in
the vicinity of the low-temperature phase transition,) of EuB6. The ultras
ound data serve to establish part of the B-T phase diagram of EuB6. At magn
etic fields exceeding 3 T, magneto-acoustic quantum oscillations (MAQO) are
observed. The nature of the acoustic anomalies and possible phases in exte
rnal magnetic fields are discussed. Also a comparison with the elastic prop
erties of other rare-earth (RE) hexaboride compounds is made.