A Generalization of Riemann Mappings and Geometric Structures on a Space of Domains in Cn

Author:   Professor of Mathematics Stephen Semmes (Rice University)
Publisher:   American Mathematical Society
ISBN:  

9780821825327


Pages:   98
Publication Date:   30 July 1992
Format:   Paperback
Availability:   Not yet available   Availability explained
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A Generalization of Riemann Mappings and Geometric Structures on a Space of Domains in Cn


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Overview

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 Teichm uller space for domains in 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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Author:   Professor of Mathematics Stephen Semmes (Rice University)
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
ISBN:  

9780821825327


ISBN 10:   0821825321
Pages:   98
Publication Date:   30 July 1992
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Not yet available   Availability explained
This item is yet to be released. You can pre-order this item and we will dispatch it to you upon its release.

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Shakti's New Voice is a rich addition to studies on gurus, women's leadership in religion, and the tension of continuity and change in religious traditions. Rudert nimbly situates the `modern' and 'New Age' eclecticism and cultural challenge of Gurumaa into broader historical patterns found in longstanding North Indian sant traditions while illuminating the innovations facilitated by twenty-first century technology. Creative, empathetic, and self-aware, Rudert's book makes a worthy contribution to on-going scholarly analyses of `gurudom' while also offering noteworthy and fascinating insights on method. Written with scholarly expertise along with a personal and approachable style, Shakti's New Voice should appeal both to professional academics and anyone intrigued by the magnetic pull of gurus and wisdom figures. -Thomas A. Forsthoefel, Mercyhurst University, co-editor of Gurus in America. -- Thomas A. Forsthoefel, Mercyhurst University, co-editor of Gurus in America


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