18 citations · 46 across the 3 of their papers we have counts for
3 papers
math.DG2015★ 13 cited
Sub-Riemannian Ricci curvatures and universal diameter bounds for 3-Sasakian manifolds
Luca Rizzi, Pavel Silveira
For a fat sub-Riemannian structure, we introduce three canonical Ricci curvatures in the sense of Agrachev-Zelenko-Li. Under appropriate bounds we prove comparison theorems for con…
math.OC2013★ 15 cited
On conjugate times of LQ optimal control problems
Andrei Agrachev, Luca Rizzi, Pavel Silveira
Motivated by the study of linear quadratic optimal control problems, we consider a dynamical system with a constant, quadratic Hamiltonian, and we characterize the number of conjug…
gr-qc2010★ 18 cited
Phase-space of flat Friedmann-Robertson-Walker models with both a scalar field coupled to matter and radiation
Genly Leon, Pavel Silveira, Carlos R. Fadragas
We investigate the phase-space of a flat FRW universe including both a scalar field, coupled to matter, and radiation. The model is inspired in scalar-tensor theories of gravi…