Automorphisms of projective manifolds

Abstract

Let $(M,P{\nabla }_M)$ be a compact projective manifold and $Aut(M,P{\nabla }_M)$ its group of automorphisms. The purpose of this paper is to study the topological properties of $(M,P{\nabla }_M)$ if $Aut(M,P{\nabla }_M))$ is not discrete by applying the results that I have shown in [13] and the Benzekri's functor which associates to a projective manifold a radiant affine manifold. This enables us to show that the orbits of the connected component of $Aut(M,P{\nabla }_M)$ are immersed projective submanifolds. We also classify $3$-dimensional compact projective manifolds such that $dim(Aut(M,P{\nabla }_M))\ge 2$.

13 pages, Change of address and minor corrections