Magnetic states and phase transitions of the layered triangular antife
rromagnets in an applied field are studied. It is shown that in compou
nds like VBr2 and VCl2 quantum effects change the ground state structu
re and cause successive phase transitions as the magnetic field increa
ses. Coplanar structures of different spin configuration are realized
far from the saturation field and a noncoplanar structure of umbrella-
type configuration is realized near this field. The ground-state phase
diagram is constructed, and a finite region of fields where the colli
near phase is also possible is indicated.