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 K er manifolds.- A digression.- The Bergman metric.- Manifolds biholomorphic to ?n.
Inhaltsverzeichnis
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.
