Skip to main content
SpringerLink
Log in

Geodesics of bounded, symmetric domains

  • Published:
Commentarii Mathematici Helvetici

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

Bibliography

  1. Singer I. M., Ambrose W.:A theorem on holonomy, Trans. Amer. Math. Soc.,75, 428–443 (1953).

    Article  MathSciNet  Google Scholar 

  2. Borel A.:Lectures on symmetric space, M.I.T. notes, (1958).

  3. Borel A.:Kaehlerian coset spaces of semi-simple Lie groups, Proc. Nat. Acad. Sci. U.S.A.,40, 1147–1151 (1954).

    Article  MATH  MathSciNet  Google Scholar 

  4. Cartan E.:Sur les domaines bornés homogènes de l'espace de n variables complexes. Oeuvres complètes, Pt. I, Vol. II, pp. 116–162.

  5. Cartan E.:Les groupes projectifs qui ne laissent invariant aucune multiplicité plane. Oeuvres complètes, Pt. I, V, I, pp. 355–399.

  6. Cartan E.:Sur certaines formes riemanniennes remarquable des géométries a groupe fondamental simple. Oeuvres complètes, Pt. I, Vol. II, pp. 867–991.

  7. Chevalley C.: Lie Groups, I, Princeton, 1946.

  8. Harish-Chandra:Representations of semi-simple Lie groups IV, Amer. J. Math.77, 743–777 (1955).

    Article  MATH  MathSciNet  Google Scholar 

  9. Helgason S.:Differential operators on homogeneous spaces. Acta Math.102, 239–299 (1960).

    Article  MathSciNet  Google Scholar 

  10. Lowdenslager D.:Potential theory in bounded, symmetric, homogeneous complex domains, Ann. of Math.67, 467–484 (1958).

    Article  MathSciNet  Google Scholar 

  11. Nomizu K.:Invariant affine connections on homogeneous spaces. Amer. J. Math.76, 33–65 (1954).

    Article  MATH  MathSciNet  Google Scholar 

  12. Wang H. C.:Closed manifolds with homogeneous complex structures. Amer. J. Math.76, 1–32 (1954).

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Massachusetts Institute of Technology, Lincoln Laboratory, Mass., USA

    Robert Hermann

Authors
  1. Robert Hermann
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

This work was performed at Lincoln Laboratory, Massachusetts Institute of Technology, under contract with the U.S. Army, Navy and Air Force.—A short lecture at the International Colloquium on Differential Geometry and Topology (Zurich, June 1960) was based upon this paper.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hermann, R. Geodesics of bounded, symmetric domains. Commentarii Mathematici Helvetici 35, 1–8 (1961). https://doi.org/10.1007/BF02566998

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02566998

Keywords

Search

Navigation