Dynamique des Varietes Affines

An n-affine manifold is a differentiable manifold endowed withan atlas whose transition functions are locally affine transformationsof Rⁿ. The paper studies affine dynamic, that is, affine endomorphismsof affine manifolds. The main goal is to relate the dynamicalviewpoint to the completeness problem. In particular, it isshown that the Markus conjecture is true when dim Aff(M, ) >dim M – 2.