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1 results

  • The Gauss-Bonnet Integrand for a Class of Riemannian Manifolds Admitting Two Orthogonal Complementary Foliations

  • O. Gil-Medrano, A. M. Naveira
  • Journal:
    Canadian Mathematical Bulletin / Volume 26 / Issue 3 / 01 September 1983
    Published online by Cambridge University Press:
    20 November 2018, pp. 358-364
    Print publication:
    01 September 1983
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  • With the general assumption that the manifold admits two orthogonal complementary foliations, one of which is totally geodesic, we study the components of the curvature tensor field of the characteristic connection.

    In the case where the manifold is compact, orientable of dimension 6 or 8 and the dimension of the totally geodesic foliation is 4, we relate the sign of the Euler characteristic of the manifold and that of the sectional curvature of the leaves of both foliations.