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Intrinsic measures on complex manifolds and holomorphic mappings

About this Title

Donald A. Eisenman

Publication: Memoirs of the American Mathematical Society
Publication Year: 1970; Number 96
ISBNs: 978-0-8218-1296-9 (print); 978-1-4704-0046-0 (online)
DOI: https://doi.org/10.1090/memo/0096
MathSciNet review: 0259165

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Table of Contents

Chapters

  • Introduction
  • Part I. Geometry, distances, and measures on $B^n$
  • 1. The automorphism group of $B^n$
  • 2. Invariant distances on $B^n$
  • 3. Measures and dimension on $B^n$
  • 4. Hyperbolic measure on $B^n$
  • 5. Invariant Hausdorff measure on $B^n$
  • Appendix to Part I
  • Part II. Intrinsic measures on complex manifolds
  • 1. $\kappa$ and $\gamma$ measures
  • 2. Measures defined by integrals: $\Gamma ^k_n$ and $\mathrm {K}^k_n$
  • 3. Relations to distances
  • Part III. Applications to the study of holomorphic mappings
  • 1. General results
  • 2. A generalization of Huber’s theorem