Disclosed herein is a roller for coating a curved surface. The roller includes a handle and a concave sleeve rotatably mounted thereto. The concave sleeve includes an outer surface that is curved inwardly. The concave sleeve can include an outer layer, such as a fibrous layer or nap, which defines the outer surface. The concave sleeve includes a core for supporting the outer layer and having means for mounting the concave sleeve to a handle, such as an axial passage defined by the core. The core can be formed of one or more components.