Add to ORKG24 pages, 17 figuresIn this paper we study the sub-Finsler geometry as a time-optimal control problem. In particular, we consider non-smooth and non-strictly convex sub-Finsler structures associated with the Heisenberg, Grushin, and Martinet distributions. Motivated by problems in geometric group theory, we characterize extremal curves, discuss their optimality, and calculate the metric spheres, proving their Euclidean rectifiability
Optimal control theory is an extension of the calculus of variations, and deals with the optimal beh...
Optimal control theory is an extension of the calculus of variations, and deals with the optimal beh...
We consider control-linear left-invariant time-optimal problems on step 2 Carnot groups with a stric...
24 pages, 17 figuresIn this paper we study the sub-Finsler geometry as a time-optimal control proble...
24 pages, 17 figuresIn this paper we study the sub-Finsler geometry as a time-optimal control proble...
In this paper, we study the sub-Finsler geometry as a time-optimal control problem. In particular, w...
In this paper, we study the sub-Finsler geometry as a time-optimal control problem. In particular, w...
In this paper, we study the sub-Finsler geometry as a time-optimal control problem. In particular, w...
AbstractWe define the notion of sub-Finsler geometry as a natural generalization of sub-Riemannian g...
We study a sub-Finsler geometric problem on the free nilpotent group of rank 2 and step 3. Such a gr...
We study a sub-Finsler geometric problem on the free nilpotent group of rank 2 and step 3. Such a gr...
We study a sub-Finsler geometric problem on the free nilpotent group of rank 2 and step 3. Such a gr...
Communicated by O. Kowalski We define the notion of sub-Finsler geometry as a natural generalization...
We consider Heisenberg groups equipped with a sub-Finsler metric. Using methods of optimal control t...
Optimal control theory is an extension of the calculus of variations, and deals with the optimal beh...
Optimal control theory is an extension of the calculus of variations, and deals with the optimal beh...
Optimal control theory is an extension of the calculus of variations, and deals with the optimal beh...
We consider control-linear left-invariant time-optimal problems on step 2 Carnot groups with a stric...
24 pages, 17 figuresIn this paper we study the sub-Finsler geometry as a time-optimal control proble...
24 pages, 17 figuresIn this paper we study the sub-Finsler geometry as a time-optimal control proble...
In this paper, we study the sub-Finsler geometry as a time-optimal control problem. In particular, w...
In this paper, we study the sub-Finsler geometry as a time-optimal control problem. In particular, w...
In this paper, we study the sub-Finsler geometry as a time-optimal control problem. In particular, w...
AbstractWe define the notion of sub-Finsler geometry as a natural generalization of sub-Riemannian g...
We study a sub-Finsler geometric problem on the free nilpotent group of rank 2 and step 3. Such a gr...
We study a sub-Finsler geometric problem on the free nilpotent group of rank 2 and step 3. Such a gr...
We study a sub-Finsler geometric problem on the free nilpotent group of rank 2 and step 3. Such a gr...
Communicated by O. Kowalski We define the notion of sub-Finsler geometry as a natural generalization...
We consider Heisenberg groups equipped with a sub-Finsler metric. Using methods of optimal control t...
Optimal control theory is an extension of the calculus of variations, and deals with the optimal beh...
Optimal control theory is an extension of the calculus of variations, and deals with the optimal beh...
Optimal control theory is an extension of the calculus of variations, and deals with the optimal beh...
We consider control-linear left-invariant time-optimal problems on step 2 Carnot groups with a stric...