œ

In the presence of a strong magnetic field, various weakly damped collective Bose modes, most of which have counterparts in the gas approximation, can exist in the plasma of interacting electrons of normal metals at low temperatures. The spin waves predicted by Silin [1] and detected experimentally in alkali metals by Schultz and Dunifer [2] are the type of excitations attributable to correlation effects that is characteristic only of the electron Fermi liquid. In degenerate conductors with a quasi-two-dimen-sional charge carrier energy spectrum, the domain of existence of spin waves is wider than that in metals [3, 4]. In layered conductors with metal-type conductivity, the propagation of spin waves for any direction of the wave vector is possible even under conditions of strong spatial dispersion [4]. This is because the drift velocity of conduction electrons is a quantity of the second order of smallness in low-dimensionality parameter η of the electron energy spectrum at certain orientations of the magnetic field deflected significantly from the layers. As a result, there is no Landau damping and the spin density oscillation decays in the relaxation time in the system of electrons and their spins, i.e., it is undamped in the collisionless limit. Previously, we considered the spin waves in the case where the constant-energy sur-faces are in the form of a corrugated cylinder with an isotropic spectrum in the plane of the layers. Experi-mental studies of galvanomagnetic effects in layered structures [5, 6], in particular, organic conductors from the family of tetrathiafulvalene salts, show that the Fermi surface (FS) can consist of topologically differ-ent elements, for example, in the form of corrugated planes. In this paper, we investigate the spin waves in lay-ered conductors with an anisotropic charge carrier dis-persion law that admits of open trajectories in p space. Let us consider the following charge carrier disper-sion law