2 citations · 7 across the 6 of their papers we have counts for
6 papers
Coisotropic and polar actions on compact irreducible Hermitian symmetric spaces
Leonardo Biliotti
We obtain the full classification of coisotropic and polar actions of compact Lie group on irreducible Hermitian symmetric spaces.
Some results on Multiplicity-free spaces
Leonardo Biliotti
Let be a connected symplectic manifold on which a connected Lie group acts properly and in a Hamiltonian fashion with moment map $μ:M \lra \mf g^*$. Our purpose is inve…
Exponential map of a weak Riemannian Hilbert manifold
Leonardo Biliotti
We prove the Focal Index Lemma and the Rauch and Berger comparison theorems on a weak Riemannian Hilbert manifold with a smooth Levi-Civita connection and we apply these results to…
Coisotropic and Polar actions on Complex Grassmannians
Leonardo Biliotti, Anna Gori
The main result of the paper is the complete classification of the compact connected Lie groups acting coisotropically on complex Grassmannians. This is used to determine the polar…
Some Results on Infinite Dimensional Riemannian Geometry
Leonardo Biliotti
In this paper we will investigate the global properties of complete Hilbert manifolds with upper and lower bounded sectional curvature. We shall prove the Focal Index Lemma that we…
Properly Discontinuous Isometric Actions on the Unit Sphere of Infinite Dimensional Hilbert Spaces
Leonardo Biliotti
We study the properly discontinuous and isometric actions on the unit sphere of infinite dimensional Hilbert spaces and we get some new examples of Hilbert manifold with costant po…