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Actes de la Table Ronde de Géométrie Différentielle en l'honneur de Marcel Berger
Edited by: Arthur L. Besse, Centre International de Rencontres Mathématiques de Luminy, France
A publication of the Société Mathématique de France.
Séminaires et Congrès
1996; 642 pp; softcover
Number: 1
ISBN-10: 2-85629-047-7
ISBN-13: 978-2-85629-047-7
List Price: US$90
Member Price: US$72
Order Code: SECO/1
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This collection presents the proceedings from a Roundtable in Differential Geometry organized at the CIRM in Luminy (France) in July 1992 honoring the work of Marcel Berger. The contributions cover most of the fields studied by Berger in differential geometry: holonomy, curvature, spectrum of the Laplacian, isoperimetric and isosystolic inequalities, and some related subjects, such as Alexandrov spaces, elastica, and subriemannian geometry. The authors are mainly geometers who worked with Berger at some time. There are also contributions from younger geometers, and some papers include a brief review--keeping non-experts in mind--of recent results in the authors' particular fields.

A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.


Graduate students and research mathematicians interested in differential geometry.

Table of Contents

  • U. Abresch and V. Shchroeder -- Analytic manifolds of nonpositive curvature
  • C. Anne -- Formes différentielles sur des variétés avec des anses fines
  • W. Ballmann and F. Ledrappier -- Discretization of positive harmonic functions on Riemannian manifolds and Martin boundary
  • R. Bryant -- Classical, exceptional and exotic holonomies: a status report
  • E. Calabi -- Extremal isosystolic metrics for compact surfaces
  • G. Carron -- Inégalités isopérimétriques de Faber-Krahn et conséquences
  • Y. D. Verdiere -- Le spectre du laplacien: Survol partiel depuis le BGM et problèmes
  • Y. F. Matheus -- Empilements de cercles et approximations conformes
  • P. Delanoe -- Equilinéarité et courbure scalaire conforme
  • M. Gromov -- Systoles and intersystolic inequalities
  • K. Grove -- Ramifications of the classical sphere theorem
  • E. Hebey -- From the Yamabe problem to the equivariant Yamabe problem
  • N. Koiso -- On the motion of a curve towards elastica
  • J. Lohkamp -- Ricci curvature modulo homotopy
  • F. Pelletier and L. Valere-Bouche -- The problem of geodesics, intrinsic derivation and use of control theory in singular sub-Riemannian geometry
  • H. Pesce -- Nilvariétés isospectrales
  • K. Shiohama and M. Tanaka -- Cut loci and distance spheres on Alexandrov surfaces
  • T. shioya -- Geometry of total curvature
  • T. Yamaguchi -- A convergence theorem in the geometry of Alexandrov spaces
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