- A multi-stage centrifugal compressor comprising: a rotary shaft that is configured to rotate around an axis; a plurality of stages of impellers that are fixed to the rotary shaft and are configured to integrally rotate to compress and deliver a fluid, which flows into the impellers from an upstream side in an axial direction, to a radial outer side; a casing including a return flow path that is configured to guide the fluid, which is compressed and delivered from an impeller on a preceding stage side, toward a radial inner side, and an introduction flow path that is connected to a downstream side of the return flow path and is configured to divert the fluid and introduce the fluid to an impeller on a succeeding stage side; and return vanes that are arranged in the return flow path while being spaced apart from each other in a circumferential direction, wherein the introduction flow path includes an outward curved wall surface that is continuous with a wall surface on a downstream side in the axial direction among wall surfaces forming the return flow path, and is curved toward the downstream side in the axial direction as the radial inner side is approached, and an inward curved wall surface that is continuous with a wall surface on the upstream side in the axial direction among the wall surfaces forming the return flow path, and is curved toward the downstream side in the axial direction as the radial inner side is approached, and a first end portion of a trailing edge of the return vane on the downstream side in the axial direction is positioned on the outward curved wall surface, and a second end portion of the trailing edge of the return vane on the upstream side in the axial direction is positioned on the inward curved wall surface within a range of a radial position of the outward curved wall surface, characterized in that the first end portion and the second end portion are positioned at the same radial position as that of a radial innermost end edge of an inner peripheral surface of a cover of the impeller, and the trailing edge of the return vane is provided at a radial position which does not overlap a compression flow path of the impeller in the radial direction with respect to the axis. a rotary shaft that is configured to rotate around an axis; a plurality of stages of impellers that are fixed to the rotary shaft and are configured to integrally rotate to compress and deliver a fluid, which flows into the impellers from an upstream side in an axial direction, to a radial outer side; a casing including a return flow path that is configured to guide the fluid, which is compressed and delivered from an impeller on a preceding stage side, toward a radial inner side, and an introduction flow path that is connected to a downstream side of the return flow path and is configured to divert the fluid and introduce the fluid to an impeller on a succeeding stage side; and return vanes that are arranged in the return flow path while being spaced apart from each other in a circumferential direction, wherein the introduction flow path includes an outward curved wall surface that is continuous with a wall surface on a downstream side in the axial direction among wall surfaces forming the return flow path, and is curved toward the downstream side in the axial direction as the radial inner side is approached, and an inward curved wall surface that is continuous with a wall surface on the upstream side in the axial direction among the wall surfaces forming the return flow path, and is curved toward the downstream side in the axial direction as the radial inner side is approached, and a first end portion of a trailing edge of the return vane on the downstream side in the axial direction is positioned on the outward curved wall surface, and a second end portion of the trailing edge of the return vane on the upstream side in the axial direction is positioned on the inward curved wall surface within a range of a radial position of the outward curved wall surface, characterized in that the first end portion and the second end portion are positioned at the same radial position as that of a radial innermost end edge of an inner peripheral surface of a cover of the impeller, and the trailing edge of the return vane is provided at a radial position which does not overlap a compression flow path of the impeller in the radial direction with respect to the axis.