The magnetic phase diagram of gamma-Mn alloys contains both collinear
and noncollinear magnetic phases in fct and fee crystal structures. Us
ing a two-band model which incorporates the magnetoelastic coupling, w
e find that the gap Delta(sw)(T) in the spin-wave dispersion is propor
tional to the 3/2 power of the sublattice magnetization M(T), in agree
ment with experiments on both the collinear and noncollinear magnetic
phases. For the noncollinear magnetic phases observed in MnNi and FeMn
alloys, high-frequency excitations are predicted with omega((q) over
right arrow=0)similar to Delta, where 2 Delta is the energy gap in the
quasiparticle spectrum.