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Conformal, Riemannian and Lagrangian Geometry: The 2000 Barrett Lectures
 
Sun-Yung A. Chang Princeton University, Princeton, NJ
Paul C. Yang Princeton University, Princeton, NJ
Karsten Grove University of Maryland, College Park, MD
Jon G. Wolfson Michigan State University, East Lansing, MI
Edited by: Alexandre Freire University of Tennessee, Knoxville, TN
Conformal, Riemannian and Lagrangian Geometry
Softcover ISBN:  978-0-8218-3210-3
Product Code:  ULECT/27
List Price: $69.00
MAA Member Price: $62.10
AMS Member Price: $55.20
eBook ISBN:  978-1-4704-2173-1
Product Code:  ULECT/27.E
List Price: $65.00
MAA Member Price: $58.50
AMS Member Price: $52.00
Softcover ISBN:  978-0-8218-3210-3
eBook: ISBN:  978-1-4704-2173-1
Product Code:  ULECT/27.B
List Price: $134.00 $101.50
MAA Member Price: $120.60 $91.35
AMS Member Price: $107.20 $81.20
Conformal, Riemannian and Lagrangian Geometry
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Conformal, Riemannian and Lagrangian Geometry: The 2000 Barrett Lectures
Sun-Yung A. Chang Princeton University, Princeton, NJ
Paul C. Yang Princeton University, Princeton, NJ
Karsten Grove University of Maryland, College Park, MD
Jon G. Wolfson Michigan State University, East Lansing, MI
Edited by: Alexandre Freire University of Tennessee, Knoxville, TN
Softcover ISBN:  978-0-8218-3210-3
Product Code:  ULECT/27
List Price: $69.00
MAA Member Price: $62.10
AMS Member Price: $55.20
eBook ISBN:  978-1-4704-2173-1
Product Code:  ULECT/27.E
List Price: $65.00
MAA Member Price: $58.50
AMS Member Price: $52.00
Softcover ISBN:  978-0-8218-3210-3
eBook ISBN:  978-1-4704-2173-1
Product Code:  ULECT/27.B
List Price: $134.00 $101.50
MAA Member Price: $120.60 $91.35
AMS Member Price: $107.20 $81.20
  • Book Details
     
     
    University Lecture Series
    Volume: 272002; 85 pp
    MSC: Primary 53; Secondary 57; 35;

    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.

    Readership

    Graduate students and research mathematicians interested in geometry and geometric analysis.

  • Table of Contents
     
     
    • Articles
    • Sun-Yung A. Chang and Paul C. Yang — Chapter 1. Partial differential equations related to the Gauss-Bonnet-Chern integrand on 4-manifolds
    • Karsten Grove — Chapter 2. Geometry of, and via, symmetries
    • Jon G. Wolfson — Chapter 3. Lagrangian cycles and volume
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 272002; 85 pp
MSC: Primary 53; Secondary 57; 35;

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.

Readership

Graduate students and research mathematicians interested in geometry and geometric analysis.

  • Articles
  • Sun-Yung A. Chang and Paul C. Yang — Chapter 1. Partial differential equations related to the Gauss-Bonnet-Chern integrand on 4-manifolds
  • Karsten Grove — Chapter 2. Geometry of, and via, symmetries
  • Jon G. Wolfson — Chapter 3. Lagrangian cycles and volume
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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