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Selected Topics in Harmonic Maps
 
A co-publication of the AMS and CBMS
Selected Topics in Harmonic Maps
Softcover ISBN:  978-0-8218-0700-2
Product Code:  CBMS/50
List Price: $35.00
Individual Price: $28.00
eBook ISBN:  978-1-4704-2412-1
Product Code:  CBMS/50.E
List Price: $33.00
Individual Price: $26.40
Softcover ISBN:  978-0-8218-0700-2
eBook: ISBN:  978-1-4704-2412-1
Product Code:  CBMS/50.B
List Price: $68.00 $51.50
Selected Topics in Harmonic Maps
Click above image for expanded view
Selected Topics in Harmonic Maps
A co-publication of the AMS and CBMS
Softcover ISBN:  978-0-8218-0700-2
Product Code:  CBMS/50
List Price: $35.00
Individual Price: $28.00
eBook ISBN:  978-1-4704-2412-1
Product Code:  CBMS/50.E
List Price: $33.00
Individual Price: $26.40
Softcover ISBN:  978-0-8218-0700-2
eBook ISBN:  978-1-4704-2412-1
Product Code:  CBMS/50.B
List Price: $68.00 $51.50
  • Book Details
     
     
    CBMS Regional Conference Series in Mathematics
    Volume: 501983; 85 pp
    MSC: Primary 58; Secondary 53;

    The first part of the book is devoted to an account of various aspects of the theory of harmonic maps between Riemannian manifolds. The second part proposes certain unsolved problems, together with comments and references, which are of widely varying difficulty. This book presents the first printed exposition of the qualitative aspects of harmonic maps.

    Readership

  • Table of Contents
     
     
    • Chapters
    • Introduction
    • Part I. Differential Geometric Aspects of Harmonic Maps
    • 1. Operators on vector bundles
    • 2. Harmonic maps
    • 3. Some properties of harmonic maps
    • 4. Second variation of the energy
    • 5. Spheres and the behavior of the energy
    • 6. The stress-energy tensor
    • 7. Harmonic morphisms
    • 8. Holomorphic and harmonic maps between almost Kähler manifolds
    • 9. Properties of harmonic maps between Kähler manifolds
    • Part II. Problems Relating to Harmonic Maps
    • 1. Existence of harmonic maps
    • 2. Regularity problems
    • 3. Holomorphic and conformal maps
    • 4. Construction/classification of harmonic maps
    • 5. Properties of harmonic maps
    • 6. Spaces of maps
    • 7. Noncompact domains
    • 8. Variations on a theme
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 501983; 85 pp
MSC: Primary 58; Secondary 53;

The first part of the book is devoted to an account of various aspects of the theory of harmonic maps between Riemannian manifolds. The second part proposes certain unsolved problems, together with comments and references, which are of widely varying difficulty. This book presents the first printed exposition of the qualitative aspects of harmonic maps.

Readership

  • Chapters
  • Introduction
  • Part I. Differential Geometric Aspects of Harmonic Maps
  • 1. Operators on vector bundles
  • 2. Harmonic maps
  • 3. Some properties of harmonic maps
  • 4. Second variation of the energy
  • 5. Spheres and the behavior of the energy
  • 6. The stress-energy tensor
  • 7. Harmonic morphisms
  • 8. Holomorphic and harmonic maps between almost Kähler manifolds
  • 9. Properties of harmonic maps between Kähler manifolds
  • Part II. Problems Relating to Harmonic Maps
  • 1. Existence of harmonic maps
  • 2. Regularity problems
  • 3. Holomorphic and conformal maps
  • 4. Construction/classification of harmonic maps
  • 5. Properties of harmonic maps
  • 6. Spaces of maps
  • 7. Noncompact domains
  • 8. Variations on a theme
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.