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Introduction A La Geometrie Hyperbolique Et Aux Surfaces De Riemann
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Book Synopsis Introduction à la géométrie hyperbolique et aux surfaces de Riemann by : Ricardo Sá Earp
Download or read book Introduction à la géométrie hyperbolique et aux surfaces de Riemann written by Ricardo Sá Earp and published by . This book was released on 2009 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: Avec ce livre, les auteurs ont voulu présenter une introduction élémentaire à des notions qui servent depuis longtemps de base à des recherches en mathématiques (géométrie différentielle et géométrie algébrique) et en physique théorique. On peut noter que le plan hyperbolique (introduit par Lobatchevski en 1826) d'une part, les surfaces de Riemann (1851) d'autre part, sont les premiers exemples d'objets géométriques qui ne se présentent pas comme des figures de l'espace usuel, mais au contraire se substituent à lui, devenant ainsi le lieu d'une nouvelle géométrie. Le lien entre ces deux notions fut découvert par Poincaré en 1881. Les objets d'étude proposés dans ce livre sont d'abord les géodésiques et les horocycles du plan hyperbolique, ses isométries, puis les courbes du plan hyperbolique et leur courbure. Un chapitre est ensuite consacré aux espaces hyperbolique de dimension 3 et plus. Dans la partie sur les surfaces de Riemann, les auteurs proposent notamment l'étude des revêtements ramifiés, puis celle de la classification des surfaces par le genre et par la nature du revêtement universel (c'est là que se fait le lien avec le plan hyperbolique) ; la classification plus fine des structures conformes est abordée dans le cas du tore, ce qui donne l'occasion de présenter la théorie des fonctions elliptiques, et de l'anneau, où on déduit de la classification le grand théorème de Picard. Plusieurs applications à la théorie des surfaces minimales de l'espace euclidien sont données en complément. Cette introduction à la géométrie hyperbolique et aux surfaces de Riemann est la première qui mette ces deux sujets à la portée d'étudiants de M1 (quatrième année) de mathématiques, sans exiger d'eux plus qu'une connaissance de la géométrie euclidienne et une familiarité minimale avec les fonctions analytiques. L'ouvrage comporte 117 exercices, avec des indications.
Book Synopsis Séminaire de théorie spectrale et géométrie by :
Download or read book Séminaire de théorie spectrale et géométrie written by and published by . This book was released on 2000 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Pseudodifferential Operators and Wavelets over Real and p-adic Fields by : Nguyen Minh Chuong
Download or read book Pseudodifferential Operators and Wavelets over Real and p-adic Fields written by Nguyen Minh Chuong and published by Springer. This book was released on 2018-11-28 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph offers a self-contained introduction to pseudodifferential operators and wavelets over real and p-adic fields. Aimed at graduate students and researchers interested in harmonic analysis over local fields, the topics covered in this book include pseudodifferential operators of principal type and of variable order, semilinear degenerate pseudodifferential boundary value problems (BVPs), non-classical pseudodifferential BVPs, wavelets and Hardy spaces, wavelet integral operators, and wavelet solutions to Cauchy problems over the real field and the p-adic field.
Book Synopsis An Advanced Complex Analysis Problem Book by : Daniel Alpay
Download or read book An Advanced Complex Analysis Problem Book written by Daniel Alpay and published by Birkhäuser. This book was released on 2015-11-13 with total page 523 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an exercises book at the beginning graduate level, whose aim is to illustrate some of the connections between functional analysis and the theory of functions of one variable. A key role is played by the notions of positive definite kernel and of reproducing kernel Hilbert space. A number of facts from functional analysis and topological vector spaces are surveyed. Then, various Hilbert spaces of analytic functions are studied.
Book Synopsis Frontiers in Number Theory, Physics, and Geometry II by : Pierre E. Cartier
Download or read book Frontiers in Number Theory, Physics, and Geometry II written by Pierre E. Cartier and published by Springer Science & Business Media. This book was released on 2007-07-18 with total page 806 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ten years after a 1989 meeting of number theorists and physicists at the Centre de Physique des Houches, a second event focused on the broader interface of number theory, geometry, and physics. This book is the first of two volumes resulting from that meeting. Broken into three parts, it covers Conformal Field Theories, Discrete Groups, and Renormalization, offering extended versions of the lecture courses and shorter texts on special topics.
Book Synopsis Boletim da Sociedade Paranaense de Matemática by :
Download or read book Boletim da Sociedade Paranaense de Matemática written by and published by . This book was released on 2000 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Discrete and Continuous Dynamical Systems by :
Download or read book Discrete and Continuous Dynamical Systems written by and published by . This book was released on 2008 with total page 752 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Introduction in Relativity and Pseudo-Riemannian Geometry by : Gheorghe Vrănceanu
Download or read book Introduction in Relativity and Pseudo-Riemannian Geometry written by Gheorghe Vrănceanu and published by . This book was released on 1976 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Spectrum of Hyperbolic Surfaces by : Nicolas Bergeron
Download or read book The Spectrum of Hyperbolic Surfaces written by Nicolas Bergeron and published by Springer. This book was released on 2016-02-19 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is an introduction to the spectral theory of the Laplacian on compact or finite area hyperbolic surfaces. For some of these surfaces, called “arithmetic hyperbolic surfaces”, the eigenfunctions are of arithmetic nature, and one may use analytic tools as well as powerful methods in number theory to study them. After an introduction to the hyperbolic geometry of surfaces, with a special emphasis on those of arithmetic type, and then an introduction to spectral analytic methods on the Laplace operator on these surfaces, the author develops the analogy between geometry (closed geodesics) and arithmetic (prime numbers) in proving the Selberg trace formula. Along with important number theoretic applications, the author exhibits applications of these tools to the spectral statistics of the Laplacian and the quantum unique ergodicity property. The latter refers to the arithmetic quantum unique ergodicity theorem, recently proved by Elon Lindenstrauss. The fruit of several graduate level courses at Orsay and Jussieu, The Spectrum of Hyperbolic Surfaces allows the reader to review an array of classical results and then to be led towards very active areas in modern mathematics.
Download or read book Annales des télécommunications written by and published by . This book was released on 1996-07 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Geometry and Dynamics in Gromov Hyperbolic Metric Spaces by : Tushar Das
Download or read book Geometry and Dynamics in Gromov Hyperbolic Metric Spaces written by Tushar Das and published by American Mathematical Soc.. This book was released on 2017-04-14 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the foundations of the theory of groups and semigroups acting isometrically on Gromov hyperbolic metric spaces. Particular emphasis is paid to the geometry of their limit sets and on behavior not found in the proper setting. The authors provide a number of examples of groups which exhibit a wide range of phenomena not to be found in the finite-dimensional theory. The book contains both introductory material to help beginners as well as new research results, and closes with a list of attractive unsolved problems.
Book Synopsis Surfaces de Riemann by : Eric Reyssat
Download or read book Surfaces de Riemann written by Eric Reyssat and published by Birkhäuser. This book was released on 1989 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Eigenvalues in Riemannian Geometry by : Isaac Chavel
Download or read book Eigenvalues in Riemannian Geometry written by Isaac Chavel and published by Academic Press. This book was released on 1984-11-07 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: The basic goals of the book are: (i) to introduce the subject to those interested in discovering it, (ii) to coherently present a number of basic techniques and results, currently used in the subject, to those working in it, and (iii) to present some of the results that are attractive in their own right, and which lend themselves to a presentation not overburdened with technical machinery.
Book Synopsis Isometric Embedding of Riemannian Manifolds in Euclidean Spaces by : Qing Han
Download or read book Isometric Embedding of Riemannian Manifolds in Euclidean Spaces written by Qing Han and published by American Mathematical Soc.. This book was released on 2006 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: The question of the existence of isometric embeddings of Riemannian manifolds in Euclidean space is already more than a century old. This book presents, in a systematic way, results both local and global and in arbitrary dimension but with a focus on the isometric embedding of surfaces in ${\mathbb R}^3$. The emphasis is on those PDE techniques which are essential to the most important results of the last century. The classic results in this book include the Janet-Cartan Theorem, Nirenberg's solution of the Weyl problem, and Nash's Embedding Theorem, with a simplified proof by Gunther. The book also includes the main results from the past twenty years, both local and global, on the isometric embedding of surfaces in Euclidean 3-space. The work will be indispensable to researchers in the area. Moreover, the authors integrate the results and techniques into a unified whole, providing a good entry point into the area for advanced graduate students or anyone interested in this subject. The authors avoid what is technically complicated. Background knowledge is kept to an essential minimum: a one-semester course in differential geometry and a one-year course in partial differential equations.
Book Synopsis Convegno Su Partial Differential Equations and Geometry by :
Download or read book Convegno Su Partial Differential Equations and Geometry written by and published by . This book was released on 1990 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Random Walks and Geometry by : Vadim Kaimanovich
Download or read book Random Walks and Geometry written by Vadim Kaimanovich and published by Walter de Gruyter. This book was released on 2008-08-22 with total page 545 pages. Available in PDF, EPUB and Kindle. Book excerpt: Die jüngsten Entwicklungen zeigen, dass sich Wahrscheinlichkeitsverfahren zu einem sehr wirkungsvollen Werkzeug entwickelt haben, und das auf so unterschiedlichen Gebieten wie statistische Physik, dynamische Systeme, Riemann'sche Geometrie, Gruppentheorie, harmonische Analyse, Graphentheorie und Informatik.
Download or read book Mathematical Reviews written by and published by . This book was released on 1994 with total page 1116 pages. Available in PDF, EPUB and Kindle. Book excerpt:
