Last edited by Yozshunos
Thursday, August 6, 2020 | History

5 edition of Introduction to complex hyperbolic spaces found in the catalog.

Introduction to complex hyperbolic spaces

by Serge Lang

  • 33 Want to read
  • 26 Currently reading

Published by Springer-Verlag in New York .
Written in English

    Subjects:
  • Functions of several complex variables.,
  • Hyperbolic spaces.,
  • Geometry, Differential.,
  • Nevanlinna theory.

  • Edition Notes

    StatementSerge Lang.
    Classifications
    LC ClassificationsQA331 .L2553 1987
    The Physical Object
    Paginationviii, 271 p. :
    Number of Pages271
    ID Numbers
    Open LibraryOL2733768M
    ISBN 100387964479
    LC Control Number86028037

    Hyperbolic space is a space exhibiting hyperbolic geometry. It is the negative-curvature analogue of the n -sphere. Although hyperbolic space Hn is diffeomorphic to Rn, its negative-curvature metric gives it very different geometric properties. Hyperbolic 2-space, H2, is also called the hyperbolic plane. Obviously, normed linear spaces are hyperbolic nonlinear examples, one can consider the Hadamard manifolds [25], the Hilbert open unit ball equipped with the hyperbolic metric [42], and the CAT(0) spaces [52, 54, 63].We will say that a subset C of a hyperbolic metric space X is convex if [x, y] ⊂ C whenever x, y are in C.. Definition

    Introduction to Hyperbolic Geometry 1 Topics (I) Geometry of real and complex hyperbolic space Models of hyperbolic space; isometries; totally geodesic subspaces; curvature; volume; con- gurations of triples and quadruples of points: angle invariants and cross-ratios; geometry of the boundary at in nity: conformal geometry and Heisenberg geometry. existence of complex numbers. If Euclid would have known complex numbers, as well as understood Desargues, he would have construct hyperbolic geometry as in the next section The complex projective line and how to build hyperbolic planes Let Ebe a vector space of dimension 2 over a eld K. For a geometer the most important feature.

    Project Euclid - mathematics and statistics online. Review: Serge Lang, Introduction to modular forms Terras, Audrey, Bulletin (New Series) of the American Mathematical Society, ; Review: Serge Lang, Introduction to Arakelov theory Silverman, Joseph H., Bulletin (New Series) of the American Mathematical Society, ; Review: Serge Lang, Introduction to algebraic geometry Rosenlicht, M. I am looking for an introductory textbook to the geometry of the hyperbolic space $\mathbb{H}^n$. The book should include explicit description of geodesics and horospheres in various models (hyperboloid, Poincaré, Klein). Apologies if the question is not appropriate for this site.


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Introduction to complex hyperbolic spaces by Serge Lang Download PDF EPUB FB2

Introduction to Complex Hyperbolic Spaces th Edition by Serge Lang (Author) ISBN ISBN Why is ISBN important. ISBN. This bar-code number lets you verify that you're getting exactly the right version or edition of a book Cited by: Introduction.

Since the appearance of Kobayashi's book, there have been several re­ sults at the basic level of hyperbolic spaces, for instance Brody's theorem, and results of Green, Kiernan, Kobayashi, Noguchi, etc. which make it worthwhile to have a systematic exposition.

Although of necessity I re­ produce some theorems from Kobayashi, I take a different direction, with different applications in mind, so the present book. Since the appearance of Kobayashi's book, there have been several re­ sults at the basic level of hyperbolic spaces, for instance Brody's theorem, and results of Green, Kiernan, Kobayashi, Noguchi, etc.

which make it worthwhile to have a systematic : Springer-Verlag New York. Introduction to Complex Hyperbolic Spaces Serge Lang (auth.) Since the appearance of Kobayashi's book, there have been several re­ sults at the basic level of hyperbolic spaces, for instance Brody's theorem, and results of Green, Kiernan, Kobayashi, Noguchi, etc.

which make it worthwhile to have a systematic exposition. Get this from a library. Introduction to complex hyperbolic spaces. [Serge Lang]. Introduction to complex hyperbolic spaces. [Serge Lang] Home.

WorldCat Home About WorldCat Help. Search. Search for Library Items Search for Lists Search for Contacts Search for a Library. Create Book\/a>, schema:CreativeWork\/a> ; \u00A0\u00A0\u00A0\n library. In the three decades since the introduction of the Kobayashi distance, the subject of hyperbolic complex spaces and holomorphic mappings has grown to be a big industry.

This book gives a comprehensive and systematic account on the Carathéodory and Kobayashi distances, hyperbolic complex spaces and holomorphic mappings with geometric methods.

Introduction to Complex Hyperbolic Spaces. By Serge Lang Introduction to Complex Hyperbolic Spaces By Serge Lang Since the appearance of Kobayashi's book, there have been several re sults at the basic level of hyperbolic spaces, for instance Brody's theorem, and results of Green, Kiernan, Kobayashi, Noguchi, etc.

which make it. Introduction to Complex Hyperbolic Spaces 作者: Serge Lang 出版社: Springer 出版年: 页数: 定价: USD 装帧: Paperback ISBN: 豆瓣评分. By Serge Lang: pp. (Springer‐Verlag, ). complex hyperbolic spaces SergeiBuyalo∗ &ViktorSchroeder† Abstract We characterize the boundary at infinity of a complex hyperbolic space as a compact Ptolemy space that satisfies four incidence axioms.

Keywords complex hyperbolic spaces, Ptolemy spaces, incidence axioms Mathematics Subject Classification 53C35, 53C23 1 Introduction. Buy the Paperback Book Introduction to Complex Hyperbolic Spaces by Serge Lang atCanada's largest bookstore.

Free shipping and pickup in store on eligible orders. In the three decades since the introduction of the Kobayashi distance, the subject of hyperbolic complex spaces and holomorphic mappings has grown to be a big industry.

This book gives a comprehensive and systematic account on the Carath?odory and Kobayashi distances, hyperbolic complex spaces and holomorphic mappings with geometric methods. However, while there are a number of books on analysis in such spaces, this book is the first to focus on the geometry, both for complex hyperbolic space and its boundary.

Motivated by applications of the theory to geometric structures, moduli spaces and discrete groups, it is designed to provide an introduction to this fascinating and important area and invite further research and. This book redresses the balance and provides an overview of the geometry of both the complex hyperbolic space and its ted by applications of the theory to geometric structures.

Oxford Mathematical Monographs This is the first comprehensive treatment of the geometry of complex hyperbolic space, a rich area of research with numerous connections to other branches of mathematics, including Riemannian geometry, complex analysis, symplectic and contact geometry, Lie groups, and harmonic analysis.

for complex hyperbolic 2-space H2 C analogous to the ball model of (real) hyperbolic space Hn R. The main difference is that the (real) sectional curvature is no longer constant, but is pinched between −1 and −1/4.

Another standard model for complex hyperbolic space is a paraboloid in C2 called the Siegel domain. This is analogous to the.

Introduction Hyperbolic geometry was created in the rst half of the nineteenth century in the midst of attempts to understand Euclid’s axiomatic basis for geometry.

It is one type ofnon-Euclidean geometry, that is, a geometry that discards one of Euclid’s axioms. Hyperbolic Complex Spaces by Shoshichi Kobayashi,available at Book Depository with free delivery worldwide.

Hyperbolic Complex Spaces: Shoshichi Kobayashi: We use cookies to give you the best possible experience. This book continues to serve as the best introduction to hyperbolic complex analysis and geometry and is easily accessible to students since very little is assumed.

The new edition adds comments on. Introduction Hyperbolic geometry was created in the rst half of the nineteenth century in the midst of attempts to understand Euclid’s axiomatic basis for geometry.

It is one type of non-Euclidean geometry, that is, a geometry that discards one of Euclid’s axioms. .Chapter 1 Geometry of real and complex hyperbolic space The hyperboloid model Let n>1 and consider a symmetric bilinear form of signature (n;1) on the vector space Rn+1, e.

.Lang, Introduction to Complex Hyperbolic Spaces, 1st Edition. Softcover version of original hardcover edition, Buch, Bücher schnell und portofrei.