Geometric Function Theory In Higher Dimension

Author : Filippo Bracci
Publisher : Springer
ISBN 13 : 3319731262
Total Pages : 182 pages
Book Rating : 4.61/5 ( download)

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Download or read book Geometric Function Theory in Higher Dimension written by Filippo Bracci and published by Springer. This book was released on 2018-03-24 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book collects the most relevant outcomes from the INdAM Workshop “Geometric Function Theory in Higher Dimension” held in Cortona on September 5-9, 2016. The Workshop was mainly devoted to discussions of basic open problems in the area, and this volume follows the same line. In particular, it offers a selection of original contributions on Loewner theory in one and higher dimensions, semigroups theory, iteration theory and related topics. Written by experts in geometric function theory in one and several complex variables, it focuses on new research frontiers in this area and on challenging open problems. The book is intended for graduate students and researchers working in complex analysis, several complex variables and geometric function theory.

Author : Ian Graham
Publisher : CRC Press
ISBN 13 : 9780203911624
Total Pages : 572 pages
Book Rating : 4.28/5 ( download)

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Download or read book Geometric Function Theory in One and Higher Dimensions written by Ian Graham and published by CRC Press. This book was released on 2003-03-18 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt: This reference details valuable results that lead to improvements in existence theorems for the Loewner differential equation in higher dimensions, discusses the compactness of the analog of the Caratheodory class in several variables, and studies various classes of univalent mappings according to their geometrical definitions. It introduces the in

Author : Thomas Peternell
Publisher : Birkhäuser
ISBN 13 : 3034888937
Total Pages : 221 pages
Book Rating : 4.36/5 ( download)

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Download or read book Geometry of Higher Dimensional Algebraic Varieties written by Thomas Peternell and published by Birkhäuser. This book was released on 2012-12-06 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on lecture notes of a seminar of the Deutsche Mathematiker Vereinigung held by the authors at Oberwolfach from April 2 to 8, 1995. It gives an introduction to the classification theory and geometry of higher dimensional complex-algebraic varieties, focusing on the tremendeous developments of the sub ject in the last 20 years. The work is in two parts, with each one preceeded by an introduction describing its contents in detail. Here, it will suffice to simply ex plain how the subject matter has been divided. Cum grano salis one might say that Part 1 (Miyaoka) is more concerned with the algebraic methods and Part 2 (Peternell) with the more analytic aspects though they have unavoidable overlaps because there is no clearcut distinction between the two methods. Specifically, Part 1 treats the deformation theory, existence and geometry of rational curves via characteristic p, while Part 2 is principally concerned with vanishing theorems and their geometric applications. Part I Geometry of Rational Curves on Varieties Yoichi Miyaoka RIMS Kyoto University 606-01 Kyoto Japan Introduction: Why Rational Curves? This note is based on a series of lectures given at the Mathematisches Forschungsin stitut at Oberwolfach, Germany, as a part of the DMV seminar "Mori Theory". The construction of minimal models was discussed by T.

Author : Tadeusz Iwaniec
Publisher : Clarendon Press
ISBN 13 : 9780198509295
Total Pages : 576 pages
Book Rating : 4.94/5 ( download)

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Download or read book Geometric Function Theory and Non-linear Analysis written by Tadeusz Iwaniec and published by Clarendon Press. This book was released on 2001 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: Iwaniec (math, Syracuse U.) and Martin (math, U. of Auckland) explain recent developments in the geometry of mappings, related to functions or deformations between subsets of the Euclidean n-space Rn and more generally between manifolds or other geometric objects. Material on mappings intersects with aspects of differential geometry, topology, partial differential equations, harmonic analysis, and the calculus of variations. Chapters cover topics such as conformal mappings, stability of the Mobius group, Sobolev theory and function spaces, the Liouville theorem, even dimensions, Picard and Montel theorems in space, uniformly quasiregular mappings, and quasiconformal groups. c. Book News Inc.

Author : Sorin G. Gal
Publisher : Nova Publishers
ISBN 13 : 9781590333648
Total Pages : 340 pages
Book Rating : 4.40/5 ( download)

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Download or read book Introduction to Geometric Function Theory of Hypercomplex Variables written by Sorin G. Gal and published by Nova Publishers. This book was released on 2002 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Geometric Function Theory of Hypercomplex Variables

Author : Peter van Lancker
Publisher : Birkhäuser
ISBN 13 : 9780817671938
Total Pages : 296 pages
Book Rating : 4.35/5 ( download)

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Download or read book Function Theory for Higher Spin Equations written by Peter van Lancker and published by Birkhäuser. This book was released on 2016-01-07 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Examines functions on Rn (rather than spinor-valued functions) with values in the Clifford algebra in higher dimensions Two different methods are presented in parallel for describing function theory for higher spin equations: one based on Clifford analysis, the other on differential geometry For grad students and researchers in analysis, geometry, PDEs, and math physics (electrodynamics, higher spin physics, and string theory)

Author : Frederick W. Gehring
Publisher : American Mathematical Soc.
ISBN 13 : 0821843605
Total Pages : 116 pages
Book Rating : 4.04/5 ( download)

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Download or read book An Introduction to the Theory of Higher-Dimensional Quasiconformal Mappings written by Frederick W. Gehring and published by American Mathematical Soc.. This book was released on 2017-05-03 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a modern, up-to-date introduction to quasiconformal mappings from an explicitly geometric perspective, emphasizing both the extensive developments in mapping theory during the past few decades and the remarkable applications of geometric function theory to other fields, including dynamical systems, Kleinian groups, geometric topology, differential geometry, and geometric group theory. It is a careful and detailed introduction to the higher-dimensional theory of quasiconformal mappings from the geometric viewpoint, based primarily on the technique of the conformal modulus of a curve family. Notably, the final chapter describes the application of quasiconformal mapping theory to Mostow's celebrated rigidity theorem in its original context with all the necessary background. This book will be suitable as a textbook for graduate students and researchers interested in beginning to work on mapping theory problems or learning the basics of the geometric approach to quasiconformal mappings. Only a basic background in multidimensional real analysis is assumed.

Author : Carl H. FitzGerald
Publisher : World Scientific
ISBN 13 : 9789812702500
Total Pages : 360 pages
Book Rating : 4.04/5 ( download)

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Download or read book Geometric Function Theory in Several Complex Variables written by Carl H. FitzGerald and published by World Scientific. This book was released on 2004 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers contained in this book address problems in one and several complex variables. The main theme is the extension of geometric function theory methods and theorems to several complex variables. The papers present various results on the growth of mappings in various classes as well as observations about the boundary behavior of mappings, via developing and using some semi group methods.

Author : Roman Vershynin
Publisher : Cambridge University Press
ISBN 13 : 1108415199
Total Pages : 299 pages
Book Rating : 4.94/5 ( download)

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Download or read book High-Dimensional Probability written by Roman Vershynin and published by Cambridge University Press. This book was released on 2018-09-27 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: An integrated package of powerful probabilistic tools and key applications in modern mathematical data science.

Author : Olivier Debarre
Publisher : Springer Science & Business Media
ISBN 13 : 147575406X
Total Pages : 245 pages
Book Rating : 4.63/5 ( download)

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Download or read book Higher-Dimensional Algebraic Geometry written by Olivier Debarre and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: The classification theory of algebraic varieties is the focus of this book. This very active area of research is still developing, but an amazing quantity of knowledge has accumulated over the past twenty years. The authors goal is to provide an easily accessible introduction to the subject. The book starts with preparatory and standard definitions and results, then moves on to discuss various aspects of the geometry of smooth projective varieties with many rational curves, and finishes in taking the first steps towards Moris minimal model program of classification of algebraic varieties by proving the cone and contraction theorems. The book is well-organized and the author has kept the number of concepts that are used but not proved to a minimum to provide a mostly self-contained introduction.