Intrinsic measures on complex manifolds and holomorphic mappings / [electronic resource] by Donald A. Eisenman.

By: Eisenman, Donald AMaterial type: TextTextSeries: Memoirs of the American Mathematical Society ; no. 96.Publication details: Providence, R.I. : American Mathematical Society, 1970Description: 1 online resource (80 p.)ISBN: 9781470400460 (online)Subject(s): Holomorphic mappings | Complex manifoldsAdditional physical formats: Intrinsic measures on complex manifolds and holomorphic mappings /LOC classification: QA3 | .A57 no. 96Online resources: Contents | Contents
Contents:
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
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Includes bibliographical references.

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

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

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