27 citations · 101 across the 22 of their papers we have counts for
Showing 2017Show all
3 papers · 1 filter
math.DG2017
Virtual immersions, and a characterization of symmetric spaces
Ricardo A. E. Mendes, Marco Radeschi
We define virtual immersions, as a generalization of isometric immersions in a pseudo-Riemannian vector space. We show that virtual immersions possess a second fundamental form, wh…
math.DG2017
Virtual immersions and minimal hypersurfaces in compact symmetric spaces
Ricardo A. E. Mendes, Marco Radeschi
We show that closed, immersed, minimal hypersurfaces in a compact symmetric space satisfy a lower bound on the index plus nullity, which depends linearly on their first Betti numbe…
math.DG2017
A note on the Petersen-Wilhelm conjecture
David González-Álvaro, Marco Radeschi
In this note we consider submersions from compact manifolds, homotopy equivalent to the Eschenburg or Bazaikin spaces of positive curvature. We show that if the submersion is nontr…