Massive neutrinos open up the possibility for a variety of new physical
phenomena. Among them are oscillations and double beta decay. Furthermore they
influence several fields from particle physics to cosmology. In this article
the concept of massive neutrinos is given and the current status of
experimental research is extensively reviewed. This includes astrophysical
studies of solar, supernova and very high energy neutrinos. Future perspectives
are also outlined.Comment: 86 pages, 50 figures (large file 8MB!!). To appear in Physics Report