Browsing Artículos by Author "Olmos, Carlos Enrique"

Now showing items 1-3 of 3

    • The index of symmetry of compact naturally reductive spaces 

      Olmos, Carlos Enrique; Reggiani, Silvio Nicolás; Tamaru, Hiroshi (2014)
      We introduce a geometric invariant that we call the index of symmetry, which measures how far is a Riemannian manifold from being a symmetric space. We compute, in a geometric way, the index of symmetry of compact naturally ...

    • Maximal totally geodesic submanifolds and index of symmetric spaces 

      Berndt, Jürgen; Olmos, Carlos Enrique (2016)
      Let M be an irreducible Riemannian symmetric space. The index i(M ) of M is the minimal codimension of a totally geodesic submanifold of M. In [1] we proved that i(M ) is bounded from below by the rank rk(M) of M, that is, ...

    • Normal holonomy of orbits and Veronese submanifolds 

      Olmos, Carlos Enrique; Riaño Riaño, Richar Fernando (2015)
      It was conjectured, twenty years ago, the following result that would generalize the so-called rank rigidity theorem for homogeneous Euclidean submanifolds: let Mn, n ≥ 2, be a full and irreducible homogeneous submanifold ...