Pedro Zuhlke

activity

20132016

most citedHomotopies of Curves on the 2-Sphere with Geodesic Curvature in a Prescribed Interval

5 citations · 7 across the 3 of their papers we have counts for

collaborators

3 papers

math.GT2016★ 2 cited

Spaces of curves with constrained curvature on hyperbolic surfaces

Nicolau C. Saldanha, Pedro Zühlke

Let $S$ be a hyperbolic surface. We investigate the topology of the space of all curves on $S$ which start and end at given points in given directions, and whose curvatures are…

math.MG2015

On a discrete version of length metrics

Pedro Zühlke

Let $(X, d)$ be a metric space. We study a metric $d_{0}$ on $X$ naturally derived from $d$ . If $(X, d)$ is complete and locally compact, or if it is complete and $ (d_0)_0=d…

math.GT2013★ 5 cited

Homotopies of Curves on the 2-Sphere with Geodesic Curvature in a Prescribed Interval

Pedro Zühlke

Let $C_{k_{1}}^{k_{2}}$ denote the set of all closed curves of class $C^{r}$ on the sphere $S^{2}$ whose geodesic curvatures are restricted to lie in $(k_{1}, k_{2})$ , furnished with the $C^{r}$ …