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Geometrie Des Surfaces Hyperboliques
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Book Synopsis Le spectre des surfaces hyperboliques by : Nicolas Bergeron
Download or read book Le spectre des surfaces hyperboliques written by Nicolas Bergeron and published by Harlequin. This book was released on 2011 with total page 350 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 ĺlarithmetic hyperbolic surfacesĺl, 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.
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 Diderot Editeur Arts Sciences. This book was released on 1997-01-01 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cet ouvrage s'ouvre sur une introduction aux fonctions holomorphes, puissant outil issu de l'analyse complexe, et de la topologie des surfaces. La géométrie hyperbolique est abordée dans un langage accessible aux étudiants dès le premier cycle. En effet, un certain nombre de notions fondamentales y sont largement développées : disque de Poincaré, notions de variété, de géodésique. On trouve également la trigonométrie du plan hyperbolique, les notions de courbure dans H2... Ces outils permettent d'ouvrir au lecteur l'accès aux surfaces de Riemann, à la notion de carte isotherme et de structure conforme sur le tore et l'anneau.
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 Géométrie des surfaces hyperboliques by : Emmanuel Philippe
Download or read book Géométrie des surfaces hyperboliques written by Emmanuel Philippe and published by . This book was released on 2008 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dans ce mémoire, on décrit le début du spectre des longueurs de tous les groupes de triangles associés à un triangle hyperbolique (r,p,q) avec r,p,q entiers ordonnés dans l'ordre croissant. On montre alors que la donnée du spectre des longueurs caractérise, sauf si r=3 , la classe d'isométrie d'un tel groupe parmi tous les groupes de triangles
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 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 Geometrie et theorie des groupes by : Michel Coornaert
Download or read book Geometrie et theorie des groupes written by Michel Coornaert and published by Springer. This book was released on 2006-11-14 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is an introduction of Gromov's theory of hyperbolic spaces and hyperbolic groups. It contains complete proofs of some basic theorems which are due to Gromov, and emphasizes some important developments on isoperimetric inequalities, automatic groups, and the metric structure on the boundary of a hyperbolic space.
Book Synopsis SURFACES ALGEBRIQUES HYPERBOLIQUES, PROPRIETES DE NEGATIVITE DE LACOURBURE by : JAWHER.. EL GOUL
Download or read book SURFACES ALGEBRIQUES HYPERBOLIQUES, PROPRIETES DE NEGATIVITE DE LACOURBURE written by JAWHER.. EL GOUL and published by . This book was released on 1997 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt: LE THEME CENTRAL DE CETTE THESE EST L'ETUDE DE CERTAINES PROPRIETES DE NEGATIVITE DE COURBURE DES SURFACES ALGEBRIQUES HYPERBOLIQUES AU SENS DE KOBAYASHI. L'ETUDE QUE NOUS AVONS FAITE EST DIVISEE EN DEUX PARTIES : DANS UN PREMIER TEMPS, NOUS INTRODUISONS LA NOTION DE CONNEXION PROJECTIVE PARTIELLE A COEFFICIENTS MEROMORPHES, ET MONTRONS COMMENT DE TELLES CONNEXIONS PEUVENT SERVIR A CONSTRUIRE DES OPERATEURS WRONSKIENS GLOBAUX AGISSANT SUR LES JETS DE COURBES HOLOMORPHES (UN TYPE TRES PARTICULIER DE JETS DE DIFFERENTIELLES INVARIANTES). GRACE A UN THEOREME D'ANNULATION DU WRONSKIEN REPOSANT SUR DES HYPOTHESES DE NEGATIVITE DE LA COURBURE DE RICCI ET GENERALISANT DES RESULTATS ANTERIEURS DE GREEN-GRIFFITHS, SIU ET NADEL, NOUS DONNONS DES EXEMPLES EXPLICITES DE FAMILLES ALGEBRIQUES DE SURFACES HYPERBOLIQUES DANS L'ESPACE PROJECTIF, DE DEGRE QUELCONQUE SUPERIEUR OU EGAL A ONZE. CECI ILLUSTRE UNE (TOUTE PETITE) PARTIE D'UNE CONJECTURE CELEBRE DE S. KOBAYASHI, QUI PREVOIT QU'UNE HYPERSURFACE GENERIQUE DE L'ESPACE PROJECTIF DE DEGRE ASSEZ GRAND (PAR RAPPORT A LA DIMENSION) EST HYPERBOLIQUE. DANS UN DEUXIEME TEMPS, NOUS MONTRONS LA PRESQUE AMPLITUDE AU SENS DE MIYAOKA DU FIBRE COTANGENT A TOUTE SURFACE DE TYPE GENERAL FIBREE SUR UNE COURBE DE GENRE SUPERIEUR OU EGAL A DEUX, ET QUI ADMET AU MOINS UNE FIBRE SINGULIERE. COMME APPLICATION, NOUS OBTENONS UNE REPONSE POSITIVE A UNE CONJECTURE DE DEMAILLY (QUI RELIE L'HYPERBOLICITE A UNE PROPRIETE DE NEGATIVITE DE COURBURE AU SENS DES JETS) DANS LE CAS D'UNE SURFACE FIBREE HYPERBOLIQUE STABLE SUR UNE COURBE DE GENRE AU MOINS DEUX. CES RESULTATS SONT OBTENUS GRACE A UNE ETUDE ALGEBRO-GEOMETRIQUE QUI NOUS PERMET DE CONSTRUIRE DES SECTIONS GLOBALES DES FIBRES EN DROITES TAUTOLOGIQUES ASSOCIES AUX ESPACES DES JETS. LES TECHNIQUES QUE NOUS UTILISONS SONT ASSEZ VARIEES, ET COMBINENT DES OUTILS ALGEBRIQUES TELS QUE DES THEOREMES DE RIGIDITE ET D'ADDITIVITE DES DIMENSIONS DE KODAIRA-IITAKA, ET DES OUTILS ANALYTIQUES DE GEOMETRIE DIFFERENTIELLE COMPLEXE : METRIQUES HERMITIENNES SINGULIERES ET TECHNIQUES DE RECOLLEMENT DE METRIQUES.
Book Synopsis Le spectre des surfaces hyperboliques by : Nicolas Bergeron
Download or read book Le spectre des surfaces hyperboliques written by Nicolas Bergeron and published by . This book was released on 2011 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Géométrie: La sphère pour elle-même, géométrie hyperbolique, l'espace des sphères by : Marcel Berger
Download or read book Géométrie: La sphère pour elle-même, géométrie hyperbolique, l'espace des sphères written by Marcel Berger and published by . This book was released on 1982 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Géométrie différentielle by : Marcel Berger
Download or read book Géométrie différentielle written by Marcel Berger and published by Presses Universitaires de France - PUF. This book was released on 1992 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Low-Dimensional Geometry by : Francis Bonahon
Download or read book Low-Dimensional Geometry written by Francis Bonahon and published by American Mathematical Soc.. This book was released on 2009-07-14 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of 3-dimensional spaces brings together elements from several areas of mathematics. The most notable are topology and geometry, but elements of number theory and analysis also make appearances. In the past 30 years, there have been striking developments in the mathematics of 3-dimensional manifolds. This book aims to introduce undergraduate students to some of these important developments. Low-Dimensional Geometry starts at a relatively elementary level, and its early chapters can be used as a brief introduction to hyperbolic geometry. However, the ultimate goal is to describe the very recently completed geometrization program for 3-dimensional manifolds. The journey to reach this goal emphasizes examples and concrete constructions as an introduction to more general statements. This includes the tessellations associated to the process of gluing together the sides of a polygon. Bending some of these tessellations provides a natural introduction to 3-dimensional hyperbolic geometry and to the theory of kleinian groups, and it eventually leads to a discussion of the geometrization theorems for knot complements and 3-dimensional manifolds. This book is illustrated with many pictures, as the author intended to share his own enthusiasm for the beauty of some of the mathematical objects involved. However, it also emphasizes mathematical rigor and, with the exception of the most recent research breakthroughs, its constructions and statements are carefully justified.
Book Synopsis Surfaces de courbure moyenne constante dans les espaces euclidien et hyperbolique by : Beate Semmler
Download or read book Surfaces de courbure moyenne constante dans les espaces euclidien et hyperbolique written by Beate Semmler and published by . This book was released on 1997 with total page 85 pages. Available in PDF, EPUB and Kindle. Book excerpt: L'OBJET DE CETTE THESE EST L'ETUDE DES SURFACES A COURBURE MOYENNE CONSTANTE H NON NULLE, OU H-SURFACES, DANS LES ESPACES EUCLIDIEN ET HYPERBOLIQUE. ETANT DONNEE C UNE COURBE DE JORDAN, ON VOUDRAIT COMPRENDRE LA TOPOLOGIE ET LA GEOMETRIE DES H-SURFACES DONT LE BORD EST C. LE CHAPITRE 1 PORTE SUR LA SYMETRIE ET LA RIGIDITE DES H-SURFACES NON COMPACTES, PROPREMENT PLONGEES DANS L'ESPACE HYPERBOLIQUE DONT LE BORD EST PLAN. CETTE ETUDE EST COMPLETEE PAR UNE RECHERCHE DE CONDITIONS GEOMETRIQUES FORCANT LA SURFACE A ETRE CONTENUE DANS UN DEMI-ESPACE. DANS LES CHAPITRES 2 ET 5, ON S'EST INTERESSE AUX SURFACES COMPACTES. SOUS CERTAINES CONDITIONS ON OBTIENT LES RESULTATS SUIVANTS : SI LA COURBURE MOYENNE EST ASSEZ PETITE EN FONCTION DE C, ALORS (I) LES PETITES H-IMMERSIONS SONT PLONGEES ET TOPOLOGIQUEMENT DES DISQUES, ET (II) LES GRANDES H-SURFACES PLONGEES SONT A GENRE ZERO ET RESSEMBLENT A UN GRAND MORCEAU DE SPHERE. LE PROBLEME DE COMPACITE EST TRAITE DANS LES CHAPITRES 3 ET 4. L'OBJECTIF DE CE TYPE DE RESULTATS EST DE CONTROLER LA LIMITE D'UNE SUITE DE H-SURFACES DONT LES BORDS CONVERGENT VERS UN POINT. LE THEOREME ETABLI POUR DES GRANDES H-SURFACES COMPACTES PLONGEES DE L'ESPACE HYPERBOLIQUE S'ETEND AUX H-SURFACES NON COMPACTES PROPREMENT PLONGEES.
Book Synopsis Géométrie des systèmes hyperboliques de lois de conservation by : Bruno Sévennec
Download or read book Géométrie des systèmes hyperboliques de lois de conservation written by Bruno Sévennec and published by . This book was released on 1994 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Analyse appliquée a la géométrie des trois dimensions by : Charles François Antoine Leroy
Download or read book Analyse appliquée a la géométrie des trois dimensions written by Charles François Antoine Leroy and published by . This book was released on 1854 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Leçons sur la théorie générale des surfaces et les applications géométriques du calcul infinitésimal: ptie. Lignes géodésoqies et courbure géodésique by : Gaston Darboux
Download or read book Leçons sur la théorie générale des surfaces et les applications géométriques du calcul infinitésimal: ptie. Lignes géodésoqies et courbure géodésique written by Gaston Darboux and published by . This book was released on 1894 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Leçons sur la théorie générale des surfaces et les applications géométriques de calcul infinitésimal by : Gaston Darboux
Download or read book Leçons sur la théorie générale des surfaces et les applications géométriques de calcul infinitésimal written by Gaston Darboux and published by . This book was released on 1894 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt:
