Skip to main content
SpringerLink
Log in

New examples of riemannian manifolds with structure groupG 2

  • Published:
Rendiconti del Circolo Matematico di Palermo Aims and scope Submit manuscript

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Berger M.,Sur les groupes d'holonomie homogène des variétés à connexion affine et des variétés riemanniennes, Bull. Soc. Math. France,83 (1955), 279–330.

    MATH  MathSciNet  Google Scholar 

  2. Bonan E.,Sur les variétés riemanniennes à groupe d'holonomie G 2 ou Spin (7), C.R. Acad. Sci. Paris,262 (1966), 127–129.

    MATH  MathSciNet  Google Scholar 

  3. Brown R. B., Gray A.,Vector cross proucts, Comment. Math. Helv.,42 (1967), 222–236.

    Article  MATH  MathSciNet  Google Scholar 

  4. Calabi E.,Construction and properties of some 6-dimensional almost complex manifolds, Trans. Amer. Math. Soc.,87 (1958), 407–438.

    Article  MATH  MathSciNet  Google Scholar 

  5. Eckmann B.,Systeme von Richtungsfeldern in Sphären und stetige Lösungen komplexer linearer Gleichungen, Comment. Math. Helv.,15 (1943), 1–26.

    Article  MathSciNet  Google Scholar 

  6. Fernandez M., Gray A.,Riemannian manifolds with structure group G 2, Annali di Mat. Pura Appl. (IV),32 (1982), 19–45.

    Article  MathSciNet  Google Scholar 

  7. Goto M., Grosshans F. D.,Semisimple Lie algebras, Lecture Notes in Pure and Applied Math. Dekker,38 (1978).

  8. Gray A.,Vector cross products on manifolds, Trans. Amer Math. Soc.,141 (1969), 463–504. Correction148 (1970), 625.

    Article  Google Scholar 

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

    Article  MATH  MathSciNet  Google Scholar 

  10. Gray A., Hervella L.,The sixteen classes of almost Hermitian manifolds and their linear invariant, Annali di Mat. Pura Appli. (IV)123 (1980), 35–58.

    Article  MATH  MathSciNet  Google Scholar 

  11. Haraguchi Y.,Sur une généralisation des structures de contact, Thése, Univ. du Haute Alsace, Mulhouse 1981.

    Google Scholar 

  12. Helgason S.,Differential Geometry, Lie Groups and Symmetric Spaces, Academic Press 1978.

  13. Samelson H.,Lie Algebras, Van Nostrand Reinhold Mathematical Studies n.23, 1969.

Download references

Author information

Authors and Affiliations

  1. Departmento de Geometría y Topología Facultad de Matemáticas, Universidad de Santiago de Compostela, Spain

    Marisa Fernandez & Teresa Iglesias

Authors
  1. Marisa Fernandez
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Teresa Iglesias
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Fernandez, M., Iglesias, T. New examples of riemannian manifolds with structure groupG 2 . Rend. Circ. Mat. Palermo 35, 276–290 (1986). https://doi.org/10.1007/BF02844737

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02844737

Keywords

Search

Navigation