Function theory on manifolds which possess a pole

Preliminaries.- The Hessian comparison theorem.- Sub-mean-value theorem for subharmonic functions.- Quasi-isometry of the exponential map and the absence of positive harmonic functions.- New criterion of hyperbolicity.- Bounded exhaustion functions and a new class of hyperbolic Kähler manifolds.- A digression.- The Bergman metric.- Manifolds biholomorphic to ?n.