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Conformal Riemannian and and Lagrangian Geometry
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Conformal Riemannian and and Lagrangian Geometry

Conformal Riemannian and and Lagrangian Geometry

University Lecture Series - volume 27

Sun-Yung A. Chang, Paul C. Yang, Karsten Grove, Jon G. Wolfson

96 pages, parution le 09/04/2003

Résumé

Recent developments in topology and analysis have led to the creation of new lines of investigation in differential geometry. The 2000 Barrett Lectures present the background, context and main techniques of three such lines by means of surveys by leading researchers.

The first chapter (by Alice Chang and Paul Yang) introduces new classes of conformal geometric invariants, and then applies powerful techniques in nonlinear differential equations to derive results on compactifications of manifolds and on Yamabe-type variational problems for these invariants. This is followed by Karsten Grove's lectures, which focus on the use of isometric group actions and metric geometry techniques to understand new examples and classification results in Riemannian geometry, especially in connection with positive curvature. The chapter written by Jon Wolfson introduces the emerging field of Lagrangian variational problems, which blends in novel ways the structures of symplectic geometry and the techniques of the modern calculus of variations.

The lectures provide an up-do-date overview and an introduction to the research literature in each of their areas. This very readable introduction should prove useful to graduate students and researchers in differential geometry and geometric analysis.

Contents

  • Partial differential equations related to the Gauss-Bonnet-Chern integrand on 4-manifolds
  • Geometry of, and via, symmetries
  • Lagrangian cycles and volume

L'auteur - Sun-Yung A. Chang

Sun-Yung A. Chang Princeton University, NJ

L'auteur - Paul C. Yang

Paul C. Yang, Princeton University, NJ

L'auteur - Karsten Grove

Karsten Grove, University of Maryland, College Park, MD

L'auteur - Jon G. Wolfson

Jon G. Wolfson, Michigan State University, East Lansing, MI

Caractéristiques techniques

  PAPIER
Éditeur(s) Oxford University Press
Auteur(s) Sun-Yung A. Chang, Paul C. Yang, Karsten Grove, Jon G. Wolfson
Parution 09/04/2003
Nb. de pages 96
Format 17,5 x 25
Couverture Broché
Poids 180g
Intérieur Noir et Blanc
EAN13 9780821832103
ISBN13 978-0-8218-3210-3

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