Skip to main content
SpringerLink
Log in

Quaternionic reduction and quaternionic orbifolds

  • Published:
Mathematische Annalen 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. Alekseevskii, D.V.: Classification of quaternionic spaces with transitive solvable group of motions. Math. USSR-Izv.9, 297 (1975)

    Google Scholar 

  2. Berger, M.: Sur les groupes d'holonomie homogène des variétés à connexion affines et des variétés riemanniennes. Bull. Soc. Math. France83, 279 (1955)

    Google Scholar 

  3. Bourguignon, J.P., Lawson, H.B. Jr.: Stability and isolation phenomena for Yang-Mills fields. Commun. Math. Phys.79, 169 (1980)

    Google Scholar 

  4. Galicki, K.: A generalization of the momentum mapping construction for quaternionic Kähler manifolds. Commun. Math. Phys.108, 117 (1987)

    Google Scholar 

  5. Galicki, K.: New metrics withSp n Sp 1 holonomy. Nucl. Phys. B289, 573 (1987)

    Google Scholar 

  6. Hitchin, N.J.: Kählerian twistor spaces. Proc. London Math. Soc. (3)43, 133 (1981)

    Google Scholar 

  7. Hitchin, N.J.: Not published

  8. Ishihara, S.: Quaternion Kählerian manifolds. J. Diff. Geom.9, 483 (1974)

    Google Scholar 

  9. Marsden, J., Weinstein, A.: Reduction of symplectic manifolds with symmetry. Rep. Math. Phys.5, 121 (1974)

    Google Scholar 

  10. O'Neill, B.: The fundamental equations of a submersion. Michigan Math. J.13, 459 (1966)

    Google Scholar 

  11. Pedersen, H.: Einstein metrics, spinning top motions and monopoles. Math. Ann.274, 35 (1986)

    Google Scholar 

  12. Salamon, S.: Quaternionic Kähler manifolds. Invent. Math.67, 143 (1982)

    Google Scholar 

  13. Wolf, J.A.: Complex homogeneous contact manifolds and quaternionic symmetric spaces. J. Math. Mech.14, 1033 (1965)

    Google Scholar 

Download references

Author information

Author notes

  1. K. Galicki

    Present address: Dept. of Mathematics, Rice University, 77251, Houston, TX, USA

Authors and Affiliations

  1. Institute for Theoretical Physics, State University of New York at Stony Brook, 11794-3840, Stony Brook, New York, USA

    K. Galicki

  2. Department of Mathematics, State University of New York at Stony Brook, 11794-3840, Stony Brook, New York, USA

    H. B. Lawson Jr.

Authors
  1. K. Galicki
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. H. B. Lawson Jr.
    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

Galicki, K., Lawson, H.B. Quaternionic reduction and quaternionic orbifolds. Math. Ann. 282, 1–21 (1988). https://doi.org/10.1007/BF01457009

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01457009

Search

Navigation