A Generalization of Riemann Mappings and Geometric Structures on a Space of Domains in Cn (Memoirs of the American Mathematical Society)

Stephen Semmes

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Similar in philosophy to the study of moduli spaces in algebraic geometry, the central theme of this book is that spaces of (pseudoconvex) domains should admit geometrical structures that reflect the complex geometry of the underlying domains in a natural way. Semmes makes two main points in the book. The first is that there is a reasonable analogue of the universal Teichmüller space for domains in ${\mathbf C}^n$, which has a great deal of interesting geometrical structure, some of which is surprisingly analogous to the classical situation in one complex variable. Second, there is a very natural notion of a Riemann mapping in several complex variables which is a modification of Lempert's, but which is defined in terms of first-order differential equations. In particular, the space of these Riemann mappings has a natural complex structure, which induces interesting geometry on the corresponding space of domains. With its unusual geometric perspective of some topics in several complex variables, this book appeals to those who view much of mathematics in broadly geometrical terms.

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Shipping: US$3.99 Within U.S.A. Destination, Rates & Speeds 2.A Generalization of Riemann Mappings and Geometric Structures on a Space of Domains in Cn (Memoirs of the American Mathematical Society) Published by Amer Mathematical Society (1992) ISBN 10: 0821825321 ISBN 13: 9780821825327 Used Quantity Available: 2 Seller: Better World Books (Mishawaka, IN, U.S.A.) Rating Book Description Amer Mathematical Society, 1992. Book Condition: Good. Former Library book. Shows some signs of wear, and may have some markings on the inside. Bookseller Inventory # GRP84103822 Buy Used US$ 19.00
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4.A Generalization of Riemann Mappings and Geometric Structures on a Space of Domains in Cn (Memoirs of the American Mathematical Society)

Published by Amer Mathematical Society (1992)
ISBN 10: 0821825321 ISBN 13: 9780821825327
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