Skip to main content
SpringerLink
Log in

A class ofU(n)-invariant Riemannian metrics on manifolds diffeomorphic to odd-dimensional spheres

  • Published:
Siberian Mathematical Journal 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. W. Ziller, “Homogeneous Einstein metrics on spheres and projective spaces,” Math. Ann.,259, 351–358 (1982).

    Google Scholar 

  2. I. Chavel, “A class of Riemannian homogeneous spaces,” J. Differential Geom.,4, 13–20 (1970).

    Google Scholar 

  3. S. Kobayashi and K. Nomizu, Foundations of Differential Geometry. Vol. 2 [Russian translation], Nauka, Moscow (1981).

    Google Scholar 

  4. B. O'Neill, “The fundamental equations of a submersion,” Michigan Math. J.,13, 459–469 (1966).

    Google Scholar 

  5. V. N. Berestovski i, “Curvatures of left-invariant Riemannian metrics on Lie groups,” in: Geometry and Topology of Homogeneous Spaces [in Russian], Barnaul Univ., Barnaul, 1988, pp. 3–12.

    Google Scholar 

  6. D. Gromoll, W. Klingerberg, and W. Meyer, Riemannian Geometry in the Large [Russian translation], Mir, Moscow (1971).

    Google Scholar 

  7. P. Dombrowski, “On the geometry of tangent bundle,” J Reine Angew. Math.,210, No. 1, 2, 73–88 (1962).

    Google Scholar 

  8. A. L. Yampol'ski i, “Extremal values of the sectional curvature for the Sasakian metric onT 1(M n,K),” Ukrain. Geom. Sb., No. 32, 127–137 (1989).

    Google Scholar 

Download references

Authors
  1. V. N. Berestovskii
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. D. E. Vol'per
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Omsk. Translated fromSibirskiî Matematicheskiî Zhurnal, Vol. 34, No. 4, pp,. 24–32, July–August, 1993.

Translated by N. S. Dairbekov

Rights and permissions

Reprints and permissions

About this article

Cite this article

Berestovskii, V.N., Vol'per, D.E. A class ofU(n)-invariant Riemannian metrics on manifolds diffeomorphic to odd-dimensional spheres. Sib Math J 34, 612–619 (1993). https://doi.org/10.1007/BF00975161

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00975161

Keywords

Search

Navigation