On the existence of a gyroscope in spaces with affine connections and metrics

Conditions for the existence of a gyroscope in spaces with affine connections and metrics are found. They appear as special types of Fermi-Walker transports for vector fields, lying in a subspace, orthogonal to the velocity vector field of an observer. PACS numbers: 04.20Cv, 04.90.+e, 04.50.+h, 02.40.Ky