rpm is Red Hat Linux Distribution's package management system. The role of the package manager is the same, however the abbreviation rpm refers to two things: first, the package file format, and second, the software packaged in that format.
rpm was first intended to be used by Linux distributions. Then the format found its way to Linux Standards Base (LSB) and was accepted as a baseline package format. Working its way into LSB, rpm is used in many distributions, from Fedora to OpenSUSE, from Novell Netware to IBM AIX.