Skip to main content
Log in

Characterization of Riemannian manifolds with weak holonomy groupG 2 (following A. Gray)

  • Published:
Mathematische Zeitschrift Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Bibliography

  1. Borel, A.: Sur l'homologie et la cohomologie des groupes de Lie compacts connexes. Amer. J. Math.76, 273–342 (1954)

    Google Scholar 

  2. Brown, R.B., Gray, A.: Vector cross products. Comment. Math. Helv.42, 222–236 (1967)

    Google Scholar 

  3. Gray, A.: Weak holonomy groups. Math. Z.123, 290–300 (1971)

    Google Scholar 

  4. Gray, A.: Nearly Kähler manifolds. J. Differential Geometry4, 283–310 (1970)

    Google Scholar 

  5. Gray, A.: Vector cross products on manifolds. Trans. Amer. Math. Soc.14, 465–504 (1969)

    Google Scholar 

  6. Jacobson, M.: Composition algebras and their automorphisms. Rend. Circ. Mat. Palermo7, 55–80 (1958)

    Google Scholar 

  7. Simons, J.: On transitivity of holonomy systems. Ann. of Math.76, 213–234 (1962)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

This work was written under the program of G.N.S.A.G.A. of C.N.R.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Marchiafava, S. Characterization of Riemannian manifolds with weak holonomy groupG 2 (following A. Gray). Math Z 178, 157–162 (1981). https://doi.org/10.1007/BF01262037

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01262037

Keywords

Navigation