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Proceedings of the American Mathematical Society

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Some facts about Eisenman intrinsic measures. II


Author: Shulim Kaliman
Journal: Proc. Amer. Math. Soc. 124 (1996), 3805-3811
MSC (1991): Primary 32H20, 32H15
MathSciNet review: 1363172
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Abstract: We construct a measure hyperbolic manifold which does not admit a Hermitian metric whose Ricci curvature is negatively bounded. We construct a $\mathbf {C}$-connected Stein manifold which is not densely sub-Euclidean or Runge (in the sense of Gromov). We find some conditions under which the Eisenman intrinsic $k$-measure of a complex manifold does not change when we delete an exclusive divisor of this manifold.


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Shulim Kaliman
Affiliation: Department of Mathematics and Computer Science, University of Miami, Coral Gables, Florida 33124
Email: kaliman@paris.cs.miami.edu

DOI: https://doi.org/10.1090/S0002-9939-96-03671-4
Received by editor(s): June 19, 1995
Communicated by: Eric Bedford
Article copyright: © Copyright 1996 American Mathematical Society