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Metrics of Positive Scalar Curvature and Generalised Morse Functions, Part I
 
Mark Walsh :  Westfälische Wilhelms-Universität Münster, Münster, Germany
Metrics of Positive Scalar Curvature and Generalised Morse Functions, Part I
eBook ISBN:  978-1-4704-0597-7
Product Code:  MEMO/209/983.E
List Price: $73.00
MAA Member Price: $65.70
AMS Member Price: $43.80
Add to cart
Metrics of Positive Scalar Curvature and Generalised Morse Functions, Part I
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Metrics of Positive Scalar Curvature and Generalised Morse Functions, Part I
Mark Walsh :  Westfälische Wilhelms-Universität Münster, Münster, Germany
eBook ISBN:  978-1-4704-0597-7
Product Code:  MEMO/209/983.E
List Price: $73.00
MAA Member Price: $65.70
AMS Member Price: $43.80
Add to cart
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 209; 2011; 80 pp
    MSC: Primary 53; 55

    It is well known that isotopic metrics of positive scalar curvature are concordant. Whether or not the converse holds is an open question, at least in dimensions greater than four. The author shows that for a particular type of concordance, constructed using the surgery techniques of Gromov and Lawson, this converse holds in the case of closed simply connected manifolds of dimension at least five.
  • Table of Contents
     
     
    • Chapters
    • Introduction
    • 1. Definitions and Preliminary Results
    • 2. Revisiting the Surgery Theorem
    • 3. Constructing Gromov-Lawson Cobordisms
    • 4. Constructing Gromov-Lawson Concordances
    • 5. Gromov-Lawson Concordance Implies Isotopy for Cancelling Surgeries
    • 6. Gromov-Lawson Concordance Implies Isotopy in the General Case
    • Appendix: Curvature Calculations from the Surgery Theorem
  • 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
Memoirs of the American Mathematical Society
Volume: 209; 2011; 80 pp
MSC: Primary 53; 55

It is well known that isotopic metrics of positive scalar curvature are concordant. Whether or not the converse holds is an open question, at least in dimensions greater than four. The author shows that for a particular type of concordance, constructed using the surgery techniques of Gromov and Lawson, this converse holds in the case of closed simply connected manifolds of dimension at least five.
  • Chapters
  • Introduction
  • 1. Definitions and Preliminary Results
  • 2. Revisiting the Surgery Theorem
  • 3. Constructing Gromov-Lawson Cobordisms
  • 4. Constructing Gromov-Lawson Concordances
  • 5. Gromov-Lawson Concordance Implies Isotopy for Cancelling Surgeries
  • 6. Gromov-Lawson Concordance Implies Isotopy in the General Case
  • Appendix: Curvature Calculations from the Surgery Theorem
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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