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We discuss a model in which three active and one sterile neutrino account forthe solar, the atmospheric and the LSND neutrino anomalies. It is shown that if$N_\nu<4$ then these and other experiments and big bang nucleosynthesisconstrain all the mixing angles severely, and allow only the small-angle MSWsolution. If these neutrinos are of Majorana type, then negative results ofneutrinoless double beta decay experiments imply that the total mass ofneutrinos is not sufficient to account for all the hot dark matter components.Comment: LaTeX, 36 page

A Sterile Neutrino Scenario Constrained By Experiments and Cosmology