Add to ORKGAbstract. A bounded curvature path is a continuously differentiable piece-wise C2 path with bounded absolute curvature that connects two points in the tangent bundle of a surface. In this work we study the homotopy classes of bounded curvature paths for generic points in the tangent bundle of the Euclidean plane. In particular, we characterize the behavior of homotopies of such paths in terms of boundedness or unboundedness of their path length. Moreover, for a type of configuration of elements in the tangent bundle we prove the existence of a compact planar region in which no bounded curva-ture path lying on it can be made homotopic to a path outside of the region. In particular, we establish that for such type of configuration, the space ...
In this paper we wish to endow the manifold M of smooth curves in R^n (either closed curves or open ...
We study collections of paths—i.e., unparametrized curves—on a manifold such that through every poin...
In general, the homotopy class of a path connecting two points on a cylinder is determined by the wi...
Abstract. A bounded curvature path is a continuously differentiable piece-wise C2 path with bounded ...
© 2013 Dr. Jose Manuel Ayala HoffmannA bounded curvature path corresponds to a C¹ and piecewise C² p...
Abstract. Consider two elements in the tangent bundle of the Euclidean plane (x,X), (y, Y) ∈ TR2. I...
Abstract. Consider two elements in the tangent bundle of the Euclidean plane (x,X), (y, Y) ∈ TR2. I...
Abstract. Let S be a complete flat surface, such as the Euclidean plane. We determine the homeomorph...
Abstract. It is well known that any planar curves with the same endpoints are homotopic. An analogou...
Article dans revue scientifique avec comité de lecture.International audienceIn this paper, we study...
Available from Bibliothek des Instituts fuer Weltwirtschaft, ZBW, Duesternbrook Weg 120, D-24105 Kie...
AbstractWe prove the following theorem, conjectured by K. Mehlhorn: Let G = (V, E) be a planar graph...
We show that any continuous plane path that turns to the left has a well-defined distribution that c...
In this paper we wish to endow the manifold M of smooth curves in R^n (either closed curves or open...
We study collections of paths—i.e., unparametrized curves—on a manifold such that through every poin...
In this paper we wish to endow the manifold M of smooth curves in R^n (either closed curves or open ...
We study collections of paths—i.e., unparametrized curves—on a manifold such that through every poin...
In general, the homotopy class of a path connecting two points on a cylinder is determined by the wi...
Abstract. A bounded curvature path is a continuously differentiable piece-wise C2 path with bounded ...
© 2013 Dr. Jose Manuel Ayala HoffmannA bounded curvature path corresponds to a C¹ and piecewise C² p...
Abstract. Consider two elements in the tangent bundle of the Euclidean plane (x,X), (y, Y) ∈ TR2. I...
Abstract. Consider two elements in the tangent bundle of the Euclidean plane (x,X), (y, Y) ∈ TR2. I...
Abstract. Let S be a complete flat surface, such as the Euclidean plane. We determine the homeomorph...
Abstract. It is well known that any planar curves with the same endpoints are homotopic. An analogou...
Article dans revue scientifique avec comité de lecture.International audienceIn this paper, we study...
Available from Bibliothek des Instituts fuer Weltwirtschaft, ZBW, Duesternbrook Weg 120, D-24105 Kie...
AbstractWe prove the following theorem, conjectured by K. Mehlhorn: Let G = (V, E) be a planar graph...
We show that any continuous plane path that turns to the left has a well-defined distribution that c...
In this paper we wish to endow the manifold M of smooth curves in R^n (either closed curves or open...
We study collections of paths—i.e., unparametrized curves—on a manifold such that through every poin...
In this paper we wish to endow the manifold M of smooth curves in R^n (either closed curves or open ...
We study collections of paths—i.e., unparametrized curves—on a manifold such that through every poin...
In general, the homotopy class of a path connecting two points on a cylinder is determined by the wi...