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Intrinsic measures on complex manifolds and holomorphic mappings

Author: Donald A Eisenman
Publisher: Providence, R.I. : American Mathematical Society, 1970.
Series: Memoirs of the American Mathematical Society, no. 96.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
This paper offers a new tool for the study of complex manifolds--a theory of intrinsic measures on complex manifolds.
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Additional Physical Format: Online version:
Eisenman, Donald A.
Intrinsic measures on complex manifolds and holomorphic mappings.
Providence, American Mathematical Society, 1970
(OCoLC)651869861
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Donald A Eisenman
ISBN: 0821812963 9780821812969
OCLC Number: 1351529
Description: 80 pages ; 26 cm.
Contents: Introduction --
Part I. Geometry, distances, and measures on [italic]B[italic superscript]n --
The automorphism group of [italic]B[italic superscript]n --
Invariant distances on [italic]B[italic superscript]n --
Measures and dimension on [italic]B[italic superscript]n --
Hyperbolic measure on [italic]B[italic superscript]n --
Invariant Hausdorff measure on [italic]B[italic superscript]n --
Appendix to Part I --
Part II. Intrinsic measures on complex manifolds --
[lowercase Greek]Kappa and [lowercase Greek]Gamma measures --
Measures defined by integrals: [capital Greek]Gamma[italic superscript]k [over] [italic subscript]n and [italic]K [italic superscript]k[ over] [italic subscript]n --
Relations to distances --
Part III. Applications to the study of holomorphic mappings --
General results --
A generalization of Huber's theorem.
Series Title: Memoirs of the American Mathematical Society, no. 96.
Responsibility: by Donald A. Eisenman.

Abstract:

This paper offers a new tool for the study of complex manifolds--a theory of intrinsic measures on complex manifolds.

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