Browsing Facultad de Matemática, Astronomía, Física y Computación by Author "Olmos, Carlos Enrique"

Now showing items 1-4 of 4

    • 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 ...

    • Subvariedades reflectivas e índice de espacios simétricos 

      Rodríguez Carreño, Juan Sebastian (2020)
      El índice de un espacio simétrico es la menor codimensión de una subvariedad totalmente geodésica. La conjetura del índice, propuesta por Berndt y Olmos, plantea una forma para calcular el índice de espacios simétricos. ...