Function theory on manifolds which possess a pole

Bibliographic Information

Function theory on manifolds which possess a pole

R.E. Greene, H. Wu

(Lecture notes in mathematics, 699)

Springer-Verlag, 1979

  • : Berlin
  • : New York

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Note

Bibliography: p. [206]-210

Includes indexes

Description and Table of Contents

Table of Contents

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 Kahler manifolds.- A digression.- The Bergman metric.- Manifolds biholomorphic to ?n.

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