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Cours De Geometrie Hyperbolique Et De Surface De Riemann
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Book Synopsis Cours de geometrie hyperbolique et de surface de Riemann by : Ricardo Sa Earp
Download or read book Cours de geometrie hyperbolique et de surface de Riemann written by Ricardo Sa Earp and published by . This book was released on 1997 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Cours de geometrie hyperbolique et de surface de Riemann by :
Download or read book Cours de geometrie hyperbolique et de surface de Riemann written by and published by . This book was released on 19?? with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Cours de geometrie hyperbolique et de Surfaces de Riemann by : Ricardo Sa.́ Earp
Download or read book Cours de geometrie hyperbolique et de Surfaces de Riemann written by Ricardo Sa.́ Earp and published by . This book was released on with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 Leçons sur la géométrie des espaces de Riemann by : Elie Cartan
Download or read book Leçons sur la géométrie des espaces de Riemann written by Elie Cartan and published by . This book was released on 1928 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 Riemann Surfaces by Way of Complex Analytic Geometry by : Dror Varolin
Download or read book Riemann Surfaces by Way of Complex Analytic Geometry written by Dror Varolin and published by American Mathematical Soc.. This book was released on 2011-08-10 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book establishes the basic function theory and complex geometry of Riemann surfaces, both open and compact. Many of the methods used in the book are adaptations and simplifications of methods from the theories of several complex variables and complex analytic geometry and would serve as excellent training for mathematicians wanting to work in complex analytic geometry. After three introductory chapters, the book embarks on its central, and certainly most novel, goal of studying Hermitian holomorphic line bundles and their sections. Among other things, finite-dimensionality of spaces of sections of holomorphic line bundles of compact Riemann surfaces and the triviality of holomorphic line bundles over Riemann surfaces are proved, with various applications. Perhaps the main result of the book is Hormander's Theorem on the square-integrable solution of the Cauchy-Riemann equations. The crowning application is the proof of the Kodaira and Narasimhan Embedding Theorems for compact and open Riemann surfaces. The intended reader has had first courses in real and complex analysis, as well as advanced calculus and basic differential topology (though the latter subject is not crucial). As such, the book should appeal to a broad portion of the mathematical and scientific community. This book is the first to give a textbook exposition of Riemann surface theory from the viewpoint of positive Hermitian line bundles and Hormander $\bar \partial$ estimates. It is more analytical and PDE oriented than prior texts in the field, and is an excellent introduction to the methods used currently in complex geometry, as exemplified in J. P. Demailly's online but otherwise unpublished book ``Complex analytic and differential geometry.'' I used it for a one quarter course on Riemann surfaces and found it to be clearly written and self-contained. It not only fills a significant gap in the large textbook literature on Riemann surfaces but is also rather indispensible for those who would like to teach the subject from a differential geometric and PDE viewpoint. --Steven Zelditch
Book Synopsis Géométries et dynamiques by : Khaled Sadallah
Download or read book Géométries et dynamiques written by Khaled Sadallah and published by Editions Hermann. This book was released on 2008 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Variable complexe et surfaces riemanniennes by : Aziz El Kacimi Alaoui
Download or read book Variable complexe et surfaces riemanniennes written by Aziz El Kacimi Alaoui and published by . This book was released on 2021-11-09 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Géométrie au XXe siècle, 1930-2000 by : Joseph Kouneiher
Download or read book Géométrie au XXe siècle, 1930-2000 written by Joseph Kouneiher and published by Editions Hermann. This book was released on 2005 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis French books in print, anglais by : Electre
Download or read book French books in print, anglais written by Electre and published by . This book was released on 2000 with total page 1846 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Dichronauts written by Greg Egan and published by Start Publishing LLC. This book was released on 2017-07-11 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: Seth is a surveyor, along with his friend Theo, a leech-like creature running through his skull who tells Seth what lies to his left and right. Theo, in turn, relies on Seth for mobility, and for ordinary vision looking forwards and backwards. Like everyone else in their world, they are symbionts, depending on each other to survive. In the universe containing Seth's world, light cannot travel in all directions: there is a “dark cone” to the north and south. Seth can only face to the east (or the west, if he tips his head backwards). If he starts to turn to the north or south, his body stretches out across the landscape, and to rotate as far as north-north-east is every bit as impossible as accelerating to the speed of light. Every living thing in Seth’s world is in a state of perpetual migration as they follow the sun’s shifting orbit and the narrow habitable zone it creates. Cities are being constantly disassembled at one edge and rebuilt at the other, with surveyors mapping safe routes ahead. But when Seth and Theo join an expedition to the edge of the habitable zone, they discover a terrifying threat: a fissure in the surface of the world, so deep and wide that no one can perceive its limits. As the habitable zone continues to move, the migration will soon be blocked by this unbridgeable void, and the expedition has only one option to save its city from annihilation: descend into the unknown.
Book Synopsis Spectral Geometry by : Pierre H. Berard
Download or read book Spectral Geometry written by Pierre H. Berard and published by Springer. This book was released on 2006-11-14 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Travaux mathématiques written by and published by . This book was released on 1996 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Groups and Geometric Analysis by : Sigurdur Helgason
Download or read book Groups and Geometric Analysis written by Sigurdur Helgason and published by American Mathematical Society. This book was released on 2022-03-17 with total page 667 pages. Available in PDF, EPUB and Kindle. Book excerpt: Group-theoretic methods have taken an increasingly prominent role in analysis. Some of this change has been due to the writings of Sigurdur Helgason. This book is an introduction to such methods on spaces with symmetry given by the action of a Lie group. The introductory chapter is a self-contained account of the analysis on surfaces of constant curvature. Later chapters cover general cases of the Radon transform, spherical functions, invariant operators, compact symmetric spaces and other topics. This book, together with its companion volume, Geometric Analysis on Symmetric Spaces (AMS Mathematical Surveys and Monographs series, vol. 39, 1994), has become the standard text for this approach to geometric analysis. Sigurdur Helgason was awarded the Steele Prize for outstanding mathematical exposition for Groups and Geometric Analysis and Differential Geometry, Lie Groups and Symmetric Spaces.
Download or read book Mathematical Reviews written by and published by . This book was released on 1968 with total page 874 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Biographisch-literarisches Handwörterbuch zur Geschichte der exacten Wissenschaften ... by : Johann Christian Poggendorff
Download or read book Biographisch-literarisches Handwörterbuch zur Geschichte der exacten Wissenschaften ... written by Johann Christian Poggendorff and published by . This book was released on 1970 with total page 652 pages. Available in PDF, EPUB and Kindle. Book excerpt: