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An Introduction to CR Structures
 
An Introduction to CR Structures
Hardcover ISBN:  978-0-8218-1533-5
Product Code:  SURV/32
List Price: $129.00
MAA Member Price: $116.10
AMS Member Price: $103.20
eBook ISBN:  978-1-4704-1259-3
Product Code:  SURV/32.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Hardcover ISBN:  978-0-8218-1533-5
eBook: ISBN:  978-1-4704-1259-3
Product Code:  SURV/32.B
List Price: $254.00 $191.50
MAA Member Price: $228.60 $172.35
AMS Member Price: $203.20 $153.20
An Introduction to CR Structures
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An Introduction to CR Structures
Hardcover ISBN:  978-0-8218-1533-5
Product Code:  SURV/32
List Price: $129.00
MAA Member Price: $116.10
AMS Member Price: $103.20
eBook ISBN:  978-1-4704-1259-3
Product Code:  SURV/32.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Hardcover ISBN:  978-0-8218-1533-5
eBook ISBN:  978-1-4704-1259-3
Product Code:  SURV/32.B
List Price: $254.00 $191.50
MAA Member Price: $228.60 $172.35
AMS Member Price: $203.20 $153.20
  • Book Details
     
     
    Mathematical Surveys and Monographs
    Volume: 321990; 237 pp
    MSC: Primary 32; Secondary 53;

    The geometry and analysis of CR manifolds is the subject of this expository work, which presents all the basic results on this topic, including results from the “folklore” of the subject. The book contains a careful exposition of seminal papers by Cartan and by Chern and Moser, and also includes chapters on the geometry of chains and circles and the existence of nonrealizable CR structures. With its detailed treatment of foundational papers, the book is especially useful in that it gathers in one volume many results that were scattered throughout the literature.

    Directed at mathematicians and physicists seeking to understand CR structures, this self-contained exposition is also suitable as a text for a graduate course for students interested in several complex variables, differential geometry, or partial differential equations. A particular strength is an extensive chapter that prepares the reader for Cartan's approach to differential geometry. The book assumes only the usual first-year graduate courses as background.

  • Table of Contents
     
     
    • Chapters
    • 1. CR structures
    • 2. Some automorphism groups
    • 3. Formal theory of the normal form
    • 4. Geometric theory of the normal form
    • 5. Background for Cartan’s work
    • 6. Cartan’s construction
    • 7. Geometric consequences
    • 8. Chains
    • 9. Chains and circles in complex projective geometry
    • 10. Nonsolvability of the Lewy operator
  • Reviews
     
     
    • Recommended to specialists.

      Zentralblatt MATH
  • 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: 321990; 237 pp
MSC: Primary 32; Secondary 53;

The geometry and analysis of CR manifolds is the subject of this expository work, which presents all the basic results on this topic, including results from the “folklore” of the subject. The book contains a careful exposition of seminal papers by Cartan and by Chern and Moser, and also includes chapters on the geometry of chains and circles and the existence of nonrealizable CR structures. With its detailed treatment of foundational papers, the book is especially useful in that it gathers in one volume many results that were scattered throughout the literature.

Directed at mathematicians and physicists seeking to understand CR structures, this self-contained exposition is also suitable as a text for a graduate course for students interested in several complex variables, differential geometry, or partial differential equations. A particular strength is an extensive chapter that prepares the reader for Cartan's approach to differential geometry. The book assumes only the usual first-year graduate courses as background.

  • Chapters
  • 1. CR structures
  • 2. Some automorphism groups
  • 3. Formal theory of the normal form
  • 4. Geometric theory of the normal form
  • 5. Background for Cartan’s work
  • 6. Cartan’s construction
  • 7. Geometric consequences
  • 8. Chains
  • 9. Chains and circles in complex projective geometry
  • 10. Nonsolvability of the Lewy operator
  • Recommended to specialists.

    Zentralblatt MATH
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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