Skip to main content
SpringerLink
Log in

Geometric properties of some classes of Riemannian almost-product manifolds

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

Abstract

The aim of this paper is to study the geometric properties of the thirty-six classes of Riemannian almost-product manifolds that appear considering the algebraic properties of the covariant derivative of the tensor field defining the structure with respect to the Levi-Civita connexion.

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

Similar content being viewed by others

References

  1. Carreras F. J.,Invariantes lineales de las variedades casi-producto Riemanniano. Un teorema de obstrucción topológica, Tesis Doctoral. Publicaciones del Dpto de Geometría y Topología, Universidad de Valencia. 1981.

  2. Carreras F. J.,Linear invariants of Riemannian almost-product manifolds, Math. Proc. Camb. Phil. Soc.,91 (1982), 99–106.

    Article  MATH  MathSciNet  Google Scholar 

  3. Gil-Medrano O., Naveira A. M.,Some remarks about the Riemannian curvature operator of a Riemannian almost-product manifold, To appear in Rev. Roum. Math. Pures et Appl.

  4. Montesinos A.,On certain classes of almost product structures. To appear in Mich. Math. J.

  5. Naveira A. M.,A classification of Riemannian almost-product manifolds. To appear in Rendiconti di Matematica.

  6. Reinhart B. L.,The second fundamental form a plane field, J. Diff. Geom.,12 (1977), 619–627.

    MATH  MathSciNet  Google Scholar 

  7. Reinhart B. L.,Foliations and second fundamental forms, Proc. IV Int. Coll. of Diff. Geom. Santiago, 1978, 246–253.

  8. Vidal E. and Vidal-Costa, E.,Special connections and almost-foliated metrics, J. Diff. Geom.,8 (1973), 297–304.

    MATH  MathSciNet  Google Scholar 

  9. Wong Y. C.,A note on complementary subspaces in a Riemannian space, Bull. Amer. Math. Soc.,49 (1943), 120–125.

    MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Departmento de Geometría y Topología, Facultad de Ciencias Matemáticas, Burjasot (Valencia), Spain

    Olga Gil-Medrano

Authors
  1. Olga Gil-Medrano
    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

Gil-Medrano, O. Geometric properties of some classes of Riemannian almost-product manifolds. Rend. Circ. Mat. Palermo 32, 315–329 (1983). https://doi.org/10.1007/BF02848536

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02848536

Keywords

Search

Navigation