Pansu, P. (Pierre)Overview
Most widely held works by
P Pansu
Metric structures for Riemannian and nonRiemannian spaces
by Mikhael Gromov
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19 editions published between 1981 and 2007 in English and French and held by 129 WorldCat member libraries worldwide An English translation of the famous "Green Book" by Lafontaine and Pansu (1979). This work also includes four appendices, by Gromov on Levy's inequality, by Pansu on "quasiconvex" domains, by Katz on systoles of Riemannian manifolds, and by Semmes overviewing analysis on metric spaces with measures, as well as a bibliography and index
Mathématiques à venir, dix ans après le Colloque de Palaiseau de 1987 : Chercheurs et enseignants en mathématiques : où en eston à la veille de l'an 2000 ? / C. Guillopé, B. Helffer, P. Pansu... [et al.]
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Book
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2 editions published in 1997 in French and held by 17 WorldCat member libraries worldwide
Problems in geometry
by Marcel Berger
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1 edition published in 1984 in English and held by 8 WorldCat member libraries worldwide
Groupes et géométrie
by Michel Boileau
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Book
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3 editions published in 2003 in French and held by 7 WorldCat member libraries worldwide
Recherche cooperative sur programme 25
by Recherche Cooperative sur Programme 25
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Book
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1 edition published in 1986 in French and held by 3 WorldCat member libraries worldwide
Geometric topology : recent developments : lectures given on the 1st session of the Centro internazionale matematico estivo (C.I.M.E.) held at Montecatini Terme, Italy, June 412, 1990
by Jeff Cheeger
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Book
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1 edition published in 1991 in English and held by 3 WorldCat member libraries worldwide Geometric Topology can be defined to be the investigation of global properties of a further structure (e.g. differentiable, Riemannian, complex, algebraic etc.) one can impose on a topological manifold. At the C.I.M.E. session in Montecatini, in 1990, three courses of lectures were given onrecent developments in this subject which is nowadays emerging as one of themost fascinating and promising fields of contemporary mathematics. The notesof these courses are collected in this volume and can be described as: 1) the geometry and the rigidity of discrete subgroups in Lie groups especially in the case of lattices in semisimple groups; 2) the study of the critical points of the distance function and its appication to the understanding of the topology of Riemannian manifolds; 3) the theory of moduli space of instantons as a tool for studying the geometry of lowdimensional manifolds. CONTENTS: J. Cheeger: Critical Points of Distance Functions and Applications to Geometry. M. Gromov, P. Pansu, Rigidity of Lattices: An Introduction. Chr. Okonek: Instanton Invariants and Algebraic Surfaces
200 ans après Lagrange : journée annuelle : [28 juin 2013]
by Société mathématique de France
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Book
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1 edition published in 2013 in French and held by 2 WorldCat member libraries worldwide
FORMES HARMONIQUES ET COHOMOLOGIE L#P SUR LES ESPACES HOMOGENES ET HYPERBOLIQUES
by DRAGOMIRNA RUGINA ALEXANDRU
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Book
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1 edition published in 1995 in French and held by 2 WorldCat member libraries worldwide SOIT M UNE VARIETE RIEMANNIENNE DE DIMENSION N,K COMPRIS ENTRE 0 ET N, P REEL PLUS GRAND QUE 1. L'ESPACE DE COHOMOLOGIE L#P EST L'ESPACE DES CLASSES DE KFORMES FERMEES A SUR M, TELLES QUE LA NORME DE A EST DANS L#P, MODULO LES DIFFERENTIELLES DE (K1)FORMES B TELLES QUE LA NORME DE B EST DANS L#P. L'INTERET DE LA COHOMOLOGIE L#P EST QUE C'EST UN INVARIANT DE QUASIISOMETRIE. ON CONSTRUIT DES PRIMITIVES ET DES VALEURS AU BORD POUR LES FORMES DIFFERENTIELLES L#P FERMEES SUR UN ESPACE HOMOGENE H PRODUIT SEMIDIRECT DE R AVEC R#M PAR UNE DERIVATION A VALEURS PROPRES POSITIVES. ON TRAITE DANS CETTE THESE LES QUESTIONS SUIVANTES: QUESTION 1). L'EXISTENCE ET L'UNICITE D'UNE FORME HARMONIQUE L#P DANS UNE CLASSE DE COHOMOLOGIE L#P. ON DONNE DES EXEMPLES DANS LESQUELS LA COHOMOLOGIE L#P N'EST PAS REPRESENTEE PAR DES FORMES HARMONIQUES L#P ET D'AUTRES EXEMPLES DANS LESQUELS, POUR P PROCHE DE 2, IL EXISTE DES FORMES HARMONIQUES L#P QUI REPRESENTENT DES CLASSES NONNULLES DE COHOMOLOGIE L#P ET ELLES SONT UNIQUES DANS LEUR CLASSE. SUR UNE VARIETE A GEOMETRIE BORNEE, UNE FORME HARMONIQUE L#P EST BORNEE, DONC L#P, POUR TOUT P' PLUS GRAND QUE P. QUESTION 2). SOIT A UNE FORME HARMONIQUE L#P. EXISTETIL UN NOMBRE REEL P#0, QUI DEPEND SEULEMENT DU DEGRE DE LA FORME ET NON PAS DE LA FORME ELLEMEME, TEL QUE A EST L#P, POUR TOUT P' COMPRIS ENTRE P#0 ET P ? ON NE PEUT PAS ESPERER UN RESULTAT GENERAL DE CE TYPE ET ON CONSTRUIT DES CONTREXEMPLES. POUR REPONDRE A LA QUESTION 2), ON IMPOSE UNE CONDITION DE CROISSANCE SUR LES FORMES HARMONIQUES. LES FORMES HARMONIQUES A CROISSANCE UNIFORMEMENT MODEREE SUR LES ESPACES HYPERBOLIQUES REELS ET COMPLEXES SONT L#PINTEGRABLES POUR P DANS DES INTERVALLES PRECISEMENT DETERMINEES ET OPTIMAUX. QUESTION 3). UNE FORME HARMONIQUE L#P ESTELLE FERMEE ET (OU) COFERMEE ? SUR UNE VARIETE RIEMANNIENNE COMPLETE, UNE FORME HARMONIQUE L#2 EST FERMEE ET COFERMEE. ON PEUT SE DEMANDER SI LE RESULTAT RESTE VRAI POUR LES FORMES HARMONIQUES L#P. S.T. YAU AFFIRME QUE SUR UNE VARIETE RIEMANNIENNE COMPLETE, UNE FORME HARMONIQUE QUI EST DANS L#P POUR P UN COMPRIS ENTRE 1 ET 3, EST FERMEE ET COFERMEE. ON MONTRE QUE CETTE AFFIRMATION N'EST VRAIE QUE POUR LES FONCTIONS ET ON DECRIT DES CONTREXEMPLES SUR LES ESPACES HYPERBOLIQUES. SUR UNE VARIETE RIEMANNIENNE DE VOLUME INFINI ET PREMIER GROUPE DE COHOMOLOGIE NUL, TOUTE 1FORME HARMONIQUE FERMEE ET L#PINTEGRABLE POUR UN P PLUS GRAND QUE 1, EST AUSSI COFERMEE
Metric Structures for Riemannian and NonRiemannian Spaces. Modern Birkhauser Classics
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1 edition published in 2007 in English and held by 1 WorldCat member library worldwide "The first edition of this book is considered one of the most influential books in geometry in the last twenty years. Among the most substantial additions [of the 2/e] is a chapter on convergence of metric spaces with measures, and an appendix on analysis on metric spaces. In addition, numerous remarks, examples, proofs, and open problems are inserted throughout the book. The original text is preserved with new items conveniently indicated. This book is certain to be a source of inspiration for many researchers as well as required reading for students entering the subject."  "Mathematical Reviews" Audience Level
Related Identities
Associated Subjects
Algebraic topology Cell aggregationMathematics Distribution (Probability theory) Geometry Geometry, Differential Geometry, Riemannian Global analysis (Mathematics) Global differential geometry Group theory Lie groups Mathematics MathematicsResearch MathematicsStudy and teaching Riemannian manifolds Riemann surfaces Surfaces of constant curvature

Alternative Names
Pansu, P.
Pansu, Pierre
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