Daniele Cannarsa

University of Jyväskylä | JYU · Department of Mathematics and Statistics

Given a surface S in a 3D contact sub-Riemannian manifold M , we investigate the metric structure induced on S by M , in the sense of length spaces. First, we define a coefficient [[EQUATION]] at characteristic points that determines locally the characteristic foliation of S . Next, we identify some global conditions for the induced distance to be...

We show that a bilinear control system is approximately controllable if and only if it is controllable in Rn∖{0}. We approach this property by looking at the foliation made by the orbits of the system, and by showing that there does not exist a codimension one foliation in Rn∖{0} with dense leaves that are everywhere transversal to the radial direc...

We say that a control system is locally controllable if the attainable set from any initial state contains an open neighborhood of the initial state, while it is controllable if the attainable set from any state is the entire state manifold. We show in this note that a control system satisfying local controllability is controllable. Our self-contai...

We are concerned with stochastic processes on surfaces in three-dimensional contact sub-Riemannian manifolds. Employing the Riemannian approximations to the sub-Riemannian manifold which make use of the Reeb vector field, we obtain a second order partial differential operator on the surface arising as the limit of Laplace–Beltrami operators. The st...

We show that a bilinear control system is approximately controllable if and only if it is controllable in R^n\{0}. We approach this problem by looking at the foliation made by the orbits of the system, and by showing that there does not exist a codimension-one foliation in R^n\{0} with dense leaves that are everywhere transversal to the radial dire...

Given a surface $S$ in a 3D contact sub-Riemannian manifold $M$, we investigate the metric structure induced on $S$ by $M$, in the sense of length spaces. First, we define a coefficient $\widehat K$ at characteristic points that determines locally the characteristic foliation of $S$. Next, we identify some global conditions for the induced distance...

We are concerned with stochastic processes on surfaces in three-dimensional contact sub-Riemannian manifolds. Employing the Riemannian approximations to the sub-Riemannian manifold which make use of the Reeb vector field, we obtain a second order partial differential operator on the surface arising as the limit of Laplace-Beltrami operators. The st...