### Abstract

We construct a measure hyperbolic manifold which does not admit a Hermitian metric whose Ricci curvature is negatively bounded. We construct a 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.

Original language | English (US) |
---|---|

Pages (from-to) | 3805-3811 |

Number of pages | 7 |

Journal | Proceedings of the American Mathematical Society |

Volume | 124 |

Issue number | 12 |

State | Published - 1996 |

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### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics

### Cite this

*Proceedings of the American Mathematical Society*,

*124*(12), 3805-3811.

**Some facts about Eisenman intrinsic measures. II.** / Kaliman, Shulim.

Research output: Contribution to journal › Article

*Proceedings of the American Mathematical Society*, vol. 124, no. 12, pp. 3805-3811.

}

TY - JOUR

T1 - Some facts about Eisenman intrinsic measures. II

AU - Kaliman, Shulim

PY - 1996

Y1 - 1996

N2 - We construct a measure hyperbolic manifold which does not admit a Hermitian metric whose Ricci curvature is negatively bounded. We construct a 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.

AB - We construct a measure hyperbolic manifold which does not admit a Hermitian metric whose Ricci curvature is negatively bounded. We construct a 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.

UR - http://www.scopus.com/inward/record.url?scp=33645911779&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33645911779&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:33645911779

VL - 124

SP - 3805

EP - 3811

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

IS - 12

ER -