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Compact Quotients of Cahen-Wallach Spaces
 
Ines Kath Universität Greifswald, Greifswald, Germany
Martin Olbrich Université du Luxembourg, Luxembourg
Compact Quotients of Cahen-Wallach Spaces
Softcover ISBN:  978-1-4704-4103-6
Product Code:  MEMO/262/1264
List Price: $81.00
MAA Member Price: $72.90
AMS Member Price: $48.60
eBook ISBN:  978-1-4704-5501-9
Product Code:  MEMO/262/1264.E
List Price: $81.00
MAA Member Price: $72.90
AMS Member Price: $48.60
Softcover ISBN:  978-1-4704-4103-6
eBook: ISBN:  978-1-4704-5501-9
Product Code:  MEMO/262/1264.B
List Price: $162.00 $121.50
MAA Member Price: $145.80 $109.35
AMS Member Price: $97.20 $72.90
Compact Quotients of Cahen-Wallach Spaces
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Compact Quotients of Cahen-Wallach Spaces
Ines Kath Universität Greifswald, Greifswald, Germany
Martin Olbrich Université du Luxembourg, Luxembourg
Softcover ISBN:  978-1-4704-4103-6
Product Code:  MEMO/262/1264
List Price: $81.00
MAA Member Price: $72.90
AMS Member Price: $48.60
eBook ISBN:  978-1-4704-5501-9
Product Code:  MEMO/262/1264.E
List Price: $81.00
MAA Member Price: $72.90
AMS Member Price: $48.60
Softcover ISBN:  978-1-4704-4103-6
eBook ISBN:  978-1-4704-5501-9
Product Code:  MEMO/262/1264.B
List Price: $162.00 $121.50
MAA Member Price: $145.80 $109.35
AMS Member Price: $97.20 $72.90
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 2622019; 84 pp
    MSC: Primary 22; 53; Secondary 57

    Indecomposable symmetric Lorentzian manifolds of non-constant curvature are called Cahen-Wallach spaces. Their isometry classes are described by continuous families of real parameters. The authors derive necessary and sufficient conditions for the existence of compact quotients of Cahen-Wallach spaces in terms of these parameters.

  • Table of Contents
     
     
    • Chapters
    • 1. Introduction
    • 2. Cahen-Wallach spaces
    • 3. Discrete subgroups of the isometry group
    • 4. Proper and cocompact actions on Cahen-Wallach spaces
    • 5. The real case
    • 6. Good subspaces and the imaginary case
    • 7. The general case
    • 8. Properties of compact quotients and their fundamental groups
  • 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: 2622019; 84 pp
MSC: Primary 22; 53; Secondary 57

Indecomposable symmetric Lorentzian manifolds of non-constant curvature are called Cahen-Wallach spaces. Their isometry classes are described by continuous families of real parameters. The authors derive necessary and sufficient conditions for the existence of compact quotients of Cahen-Wallach spaces in terms of these parameters.

  • Chapters
  • 1. Introduction
  • 2. Cahen-Wallach spaces
  • 3. Discrete subgroups of the isometry group
  • 4. Proper and cocompact actions on Cahen-Wallach spaces
  • 5. The real case
  • 6. Good subspaces and the imaginary case
  • 7. The general case
  • 8. Properties of compact quotients and their fundamental groups
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
Please select which format for which you are requesting permissions.