Skip to main content

Flat manifolds and the cohomology of groups

Research Papers

Part of the Lecture Notes in Mathematics book series (LNM,volume 664)

Keywords

  • fUndamental Group
  • Spectral Sequence
  • Adjoint Action
  • Holonomy Group
  • Deck Transformation

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   46.00
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Auslander, L. Examples of locally affine spaces, Ann. of Math. vol 64 (1956) pp. 255–259.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. Auslander, L and Markus, L. Flat Lorentz 3-manifols, Amer. Math. Soc. Memoir 30, (1959).

    Google Scholar 

  3. Calabi, E. Closed, locally euclidean 4-dimensional manifolds, Bull. Amer. Math. Soc. vol. 63 (1975), p. 135.

    Google Scholar 

  4. Hirsch, M. and Thurston, W. Foliated bundles, flat manifolds and invariant measures, Ann. of Math. 101 (1975) pp. 369–390.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. Milnor, J. On the fundamental groups of complete affinely flat manifolds, Inst. Adv. Study (Princeton), preprint.

    Google Scholar 

  6. Kostant, B. and Sullivan, D. The Euler characteristics of an affine space form is zero, Bull. Amer. Math. Soc. 81 (1975), p. 937.

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. Atiyah, M. and Tate, J. In Cassels and Fröhlich (Eds.) Algebra Number Theory, Thompson Book Company, Washington, 1967.

    Google Scholar 

  8. Mac Lane, Homology Theory, Springer-Verlag, Berlin, 1963.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1978 Springer-Verlag

About this chapter

Cite this chapter

Hirsch, M.W. (1978). Flat manifolds and the cohomology of groups. In: Millett, K.C. (eds) Algebraic and Geometric Topology. Lecture Notes in Mathematics, vol 664. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0061694

Download citation

  • DOI: https://doi.org/10.1007/BFb0061694

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08920-9

  • Online ISBN: 978-3-540-35758-2

  • eBook Packages: Springer Book Archive