  We prove that a smooth hypersurface of degree >2 and dimension >1 admits no
endomorphism of degree >1 (for hyperquadrics this is due to Paranjape and
Srinivas). We then collect some general results on endomorphisms of projective
manifolds; we prove in particular that ramified endomorphisms occur only on
varieties of negative Kodaira dimension, and we classify those Del Pezzo
surfaces which admit such endomorphism.
