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  • Function Theory on Manifolds Which Possess a Pole

Function Theory on Manifolds Which Possess a Pole

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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.
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