Skip to main content

Mappings between manifolds with cartan connections

  • 632 Accesses

Part of the Lecture Notes in Mathematics book series (LNM,volume 1209)

Keywords

  • Complete Riemannian Manifold
  • Holonomy Group
  • Riemannian Submersion
  • Unique Vector
  • Cartan Connection

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. W. Ambrose, "Parallel translation of Riemannian curvature", Ann. of Math. 64 (1956), 337–363.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. W. Ambrose, R.S. Palais, and I.M. Singer, "Sprays", An. Acad. Bras. Ciênc. 32 (1960), 163–178.

    MathSciNet  MATH  Google Scholar 

  3. R.A. Blumenthal, "Local isomorphisms of projective and conformal structures", Geom. Ded. 16 (1984), 73–78.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. R.A. Blumenthal, "Affine submersions", Ann. Global Analysis and Geom. 3 (1985), 275–287.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. C. Ehresmann, "Sur les espaces fibrés différentiables", C.R. Acad. Sci., Paris 224 (1947), 1611–1612.

    MathSciNet  MATH  Google Scholar 

  6. R. Hermann, "A sufficient condition that a mapping of Riemannian manifolds be a fiber bundle", Proc. A.M.S. 11 (1960), 236–242.

    CrossRef  MATH  Google Scholar 

  7. N. Hicks, "A theorem on affine connections", Ill. J. Math. 3 (1959), 242–254.

    MATH  Google Scholar 

  8. S. Kobayashi, "Theory of connections", Annali di Mat. Pura Appl. 43 (1957), 119–194.

    CrossRef  MathSciNet  Google Scholar 

  9. P. Molino, "Etude des feuilletages transversalement complets et applications", Ann. Scient. Éc. Norm. Sup 10 (1977), 289–307.

    MATH  Google Scholar 

  10. B. Reinhart, "Foliated manifolds with bundle-like metrics", Annals of Math. 69 (1959), 119–132.

    CrossRef  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1986 Springer-Verlag

About this paper

Cite this paper

Blumenthal, R.A. (1986). Mappings between manifolds with cartan connections. In: Naveira, A.M., Ferrández, A., Mascaró, F. (eds) Differential Geometry Peñíscola 1985. Lecture Notes in Mathematics, vol 1209. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076622

Download citation

  • DOI: https://doi.org/10.1007/BFb0076622

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16801-0

  • Online ISBN: 978-3-540-44844-0

  • eBook Packages: Springer Book Archive