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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Some remarks on the intrinsic measures of Eisenman


Authors: Ian Graham and H. Wu
Journal: Trans. Amer. Math. Soc. 288 (1985), 625-660
MSC: Primary 32H15; Secondary 32H20, 53C55
MathSciNet review: 776396
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Abstract: This paper studies the intrinsic measures on complex manifolds first introduced by Eisenman in analogy with the intrinsic distances of Kobayashi. Some standard conjectures, together with several new ones, are considered and partial or complete answers are provided. Most of the counterexamples come from a closer examination of unbounded domains in complex euclidean space. In particular, a large class of unbounded hyperbolic domains are exhibited. Those unbounded domains of finite euclidean volume are also singled out for discussion.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1985-0776396-4
PII: S 0002-9947(1985)0776396-4
Article copyright: © Copyright 1985 American Mathematical Society