2 edition of **Geometry of complex domains** found in the catalog.

Geometry of complex domains

Veblen, Oswald

- 91 Want to read
- 10 Currently reading

Published
**1937** by The Institute for Advanced Study in Princeton .

Written in English

- Complexes.,
- Transformations (Mathematics),
- Generalized spaces.

**Edition Notes**

Leaves variously numbered.

Statement | First term lectures by Professor Veblen, second term lectures by Mr. J.W. Givens, notes by Dr. A.H. Taub and Mr. J.W. Givens. |

Contributions | Von Neumann, John, 1903-1957., Givens, James Wallace, 1910-, Taub, Abraham Haskel, 1911-, Institute for Advanced Study (Princeton, N.J.) |

Classifications | |
---|---|

LC Classifications | QA608 .V4 |

The Physical Object | |

Pagination | 231 leaves : |

Number of Pages | 231 |

ID Numbers | |

Open Library | OL6422070M |

LC Control Number | 41018693 |

OCLC/WorldCa | 7291063 |

This is an excellent book about general theory of the univalent functions. We are mostly interested in the first three chapters. G. Goluzin, Geometric Theory of Functions of a Complex Variable. This book contains vast amount of information about the geometric function theory. We will cover some of the results from the first four chapters.

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The Geometry of Complex Domains can serve as a “coming of age” book for a graduate student who has completed at least one semester Geometry of complex domains book more of complex analysis, and will be most welcomed by analysts and geometers engaged in current research. Enter your mobile number or email address below and we'll send you a link to download the free Kindle Cited by: This work examines a rich tapestry of themes and concepts and provides a comprehensive treatment of an important area of mathematics, while simultaneously covering a broader area of the geometry of domains in complex space.

At once authoritative and accessible, this text touches upon many important. Written by three leading experts in the field, The Geometry of Complex Domains is the first book to provide systematic treatment of recent developments in the subject of the geometry of complex domains and automorphism groups of domains.

A unique and definitive work in this subject area, it will be a valuable resource for graduate students and. ISBN: OCLC Number: Description: xiv, pages: illustrations ; 25 cm. Contents: Preface.- 1 Preliminaries.- 2 Riemann Surfaces and Covering Spaces.- 3 The Bergman Kernel and Metric.- 4 Applications of Bergman Geometry.- 5 Lie Groups Realized as Automorphism Groups.- 6 The Significance of Large Isotropy.

As one of the reviewers said this is not for the beginner in complex analysis but if you have been exposed to a standard course on complex analysis and have some knowledge of differential geometry, simple knowledge of tangent spaces should be more than sufficient, then this book is a by: The geometry of complex domains is a subject with roots extending back more than a century, to the uniformization theorem of Poincaré and Koebe and the resulting proof of existence of canonical metrics for hyperbolic Riemann surfaces.

Request PDF | The Geometry of Complex Domains | Preface.- 1 Preliminaries.- 2 Riemann Surfaces and Covering Spaces.- 3 The Bergman Kernel and Metric.- 4 Applications of Bergman Geometry.- 5 Lie. The geometry of complex domains Robert E.

Greene, Kang-Tae Kim, Steven G. Krantz (auth.) The geometry of complex domains is a subject with roots extending back more than a century, to the uniformization theorem of Poincaré and Koebe and the resulting proof of existence of canonical metrics for hyperbolic Riemann surfaces.

The Geometry of Complex Domains can serve as a "coming of age" book for a graduate student who has completed at least one semester or more of complex analysis, and will be most welcomed by analysts and geometers engaged in current research.

Progress in Mathematics: The Geometry of Complex Domains (Hardcover)Price: $ The Geometry of Complex Domains can serve as a "coming of age" book for a graduate student who has completed at least one semester or more of complex analysis, and will be most welcomed by analysts and geometers engaged in current research.

springer, This work examines a rich tapestry of themes and concepts and provides a comprehensive treatment of an important area of mathematics, while simultaneously covering a broader area of the geometry of domains in complex space. At once authoritative and accessible, this text touches upon many important parts of modern mathematics: complex geometry, equivalent embeddings, Bergman.

"This book, which is a useful text for advanced graduate students and researchers gives a comprehensive account of the field of homogeneous complex domains The exposition is rapidly paced and efficient, without compromising : Birkhäuser Basel.

I wish to learn Complex Geometry and am aware of the following books: Huybretchs, Voisin, Griffths-Harris, R O Wells, Demailly. But I am not sure which one or two to choose.

I am interested in learning complex analytic & complex algberaic geometry both. The appendix of Krantz's book includes a proof that the curvature defined in chapter 2 in the context of complex domains is the same as the curvature arising in Cartan's structural equations.

The author connects in this chapter his presentation to the standard differential geometry background, as it is presented for example in Elementary. Addeddate Bib_id acd Bookplateleaf Call number QA C Camera Canon EOS 5D Mark II External-identifier urn:oclc:recordPages: A number of important topics in complex analysis and geometry are covered in this excellent introductory text.

Written by experts in the subject, each chapter unfolds from the basics to the more complex. The exposition is rapid-paced and efficient, without compromising proofs and examples that enable the reader to grasp the essentials.

The book The Theory and Practice of Conformal Geometry is a study of classical conformal geometry in the complex plane, and is the first Dover book that is not a reprint of a classic but is instead a new book.

Krantz has had 9 Masters students and 20 Ph.D. mater: University of California at Santa. A number of important topics in complex analysis and geometry are covered in this excellent introductory text.

Written by experts in the subject, each chapter unfolds from the basics to the more complex. The exposition is rapid-paced and efficient, without compromising proofs and examples that enable the reader to grasp the essentials. The most.

Book Description. Several Complex Variables and the Geometry of Real Hypersurfaces covers a wide range of information from basic facts about holomorphic functions of several complex variables through deep results such as subelliptic estimates for the?-Neumann problem on pseudoconvex domains with a real analytic boundary.

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If it available for your country it will shown as book reader and user fully subscribe. Full text of "The geometry of the complex domain.

--" See other formats. The Geometry of Complex Domains can serve as a “coming of age” book for a graduate student who has completed at least one semester or more of complex analysis, and will be most welcomed by analysts and geometers engaged in current research.

A number of important topics in complex analysis and geometry are covered in this excellent introductory text. Written by experts in the subject, each chapter unfolds from the basics to the more complex.

The exposition is rapid-paced and efficient, without compromising proofs and examples that enable the reader to grasp the : $ The theme of the contributions is fractals and dynamics and content is split into four parts, centered around the following themes: Dimension gaps and the mass transfer principle, fractal strings and complex dimensions, Laplacians on fractal domains and SDEs with fractal noise, and aperiodic order (Delone sets and tilings).

Mumford-Tate Groups and Domains | Mumford-Tate groups are the fundamental symmetry groups of Hodge theory, a subject which rests at the center of contemporary complex algebraic geometry.

This book is the first comprehensive exploration of Mumford-Tate groups and domains. Geometry of complex bounded domains with finite-volume quotients. of the complex domains in this article, One may refer to the book.

Analysis and Geometry on Complex Homogeneous Domains Progress in Mathematics: : Faraut, Jacques, Kaneyuki, Soji, Koranyi, Adam: Libros en idiomas extranjerosFormat: Tapa blanda. We first show that for a bounded pseudoconvex domain with a manifold quotient of finite-volume in the sense of Kahler-Einstein measure, the identity component of the automorphism group of this domain is semi-simple without compact factors.

This partially answers an open question in [Fra95]. Then we apply this result in different settings to solve several open problems, for examples, (1). We Cited by: 1.

Mumford-Tate groups are the fundamental symmetry groups of Hodge theory, a subject which rests at the center of contemporary complex algebraic geometry. This book is the first comprehensive exploration of Mumford-Tate groups and domains. The underlying theme is the use of complex geometry to understand the two subjects and their relationships to one another--an approach that is complementary to what is in the literature.

Finite-dimensional representation theory and complex geometry enter via the concept of Hodge representations and Hodge domains. The book focuses on describing the geometry of a real hypersurface in a complex vector space by understanding its relationship with ambient complex analytic varieties.

You will learn how to decide whether a real hypersurface contains complex varieties, how closely such varieties can contact the hypersurface, and why it's important. Book Description. Based on two conferences held in Trento, Italy, this volume contains 13 research papers and two survey papers on complex analysis and complex algebraic geometry.

The main topics addressed by these leading researchers include: Mori theory; polynomial hull vector bundles; q-convexity Lie groups and actions on complex spaces.

A complex number z can thus be identified with an ordered pair (Re(z), Im(z)) of real numbers, which in turn may be interpreted as coordinates of a point in a two-dimensional space. The most immediate space is the Euclidean plane with suitable coordinates, which is then called complex plane or Argand diagram, named after Jean-Robert r prominent space on which the coordinates may.

Abstract: This volume contains the proceedings of an NSF/Conference Board of the Mathematical Sciences (CBMS) regional conference on Hodge theory, complex geometry, and representation theory, held on Jat the Texas Christian University in Fort Worth, TX.

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Download for offline reading, highlight, bookmark or take notes while you read Mumford-Tate Groups and Domains: Their Geometry and Arithmetic (AM). q-convexity Lie groups and actions on complex spaces; hypercomplex structures; pseudoconvex domains; projective varieties Peer-reviewed and extensively referenced, Complex Analysis and Geometry contains recent advances and important research results.

It also details several problems that remain open, the resolution of which could further. GEOMETRY OF COMPLEX BOUNDED DOMAINS WITH FINITE-VOLUME QUOTIENTS KEFENG LIU AND YUNHUI WU Abstract.

We ﬁrst show that for a bounded pseudoconvex domain with a manifold quotient of ﬁnite-volume in the sense of Kahler-Einstein measure, the identity component of the automorphism group of this domain is semi-simple without compact by: 1.

Geometry and Complex Variables book. Geometry and Complex Variables. DOI link for Geometry and Complex Variables. Geometry and Complex Variables book. By S. Coen. Edition 1st Edition. First Published eBook Published 22 November Kreǐn Spaces and Holomorphic Isometries of Cartan Domains. There are a number of techniques for meshing complex domains for Finite Element Analysis.

They generally fall into two categories: Structured vs. Unstructured. For structured meshes, basically the entire mesh can be mapped directly to a 3D array of XYZ coordinates, whereas unstructured grids cannot.

The relationship between Hodge theory and geometry, especially for the study of algebraic cycles on (complex) manifolds, is a rich, deep and increasingly active field. As is well known, one the main conjectures guiding this research is the (generalized) Hodge conjecture on the realization of every rational Hodge (cohomology) class as an.Book at Library Mkii.

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