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We consider the effect of local flattening on the Fermi surface (FS) of ametal upon geometric oscillations of the velocity and attenuation of ultrasonicwaves in the neighborhood of the acoustic cyclotron resonance. It is shown thatsuch peculiarities of the local geometry of the FS can lead to a significantenhancement of both cyclotron resonance and geometric oscillations.Characteristic features of the coupling of ultrasound to shortwave cyclotronwaves arising due to the local flattening of the FS are analyzed.  PACS numbers 71.18.+y; 72.15.Gd; 72.15.-vComment: 8 pages, 3 figures, text revise

Acoustic cyclotron resonance and giant high-frequency magnetoacoustic oscillations in metals with locally flattened Fermi surfaces