4 citations · 24 across the 33 of their papers we have counts for
4 papers · 1 filter
On the Singularities of the Exponential Map in Infinite Dimensional Riemannian Manifolds
L. Biliotti, R. Exel, P. Piccione +1
Using symplectic techniques and spectral analysis of smooth paths of self-adjoint operators, we characterize the set of conjugate instants along a geodesic in an infinite dimension…
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…