LIOUVILLE TYPE THEOREMS IN THE THEORY OF MAPPINGS OF COMPLETE RIEMANNIAN MANIFOLDS

摘要

We prove vanishing theorems for projective and holomorphically projective diffeomor-phisms of Riemannian and Kaehler complete manifolds. In the proof, we use the well-known Liouville type theorems on harmonic, subharmonic and superharmonic functions on complete Riemannian manifolds. Bibliography: 31 titles.