Hyperbolic sets for multidimensional holomorphic maps
by
Malgorzata Stawiska
Northwestern University

We study holomorphic endomorphisms of a k-dimensional projective space. Under the assumption that the closure of the critical forward orbit of such a map f is disjoint from the set K of points with bounded orbits under f, we prove that f is expanding on K.

Date received: March 4, 2000