Pedro Zühlke

most citedOn a class of immersions of spheres into space forms of nonpositive curvature

1 citations · 1 across the 2 of their papers we have counts for

collaborators

3 papers

math.GT2018

Homotopical and topological rigidity of hypersurfaces of spherical space forms

Pedro Zühlke

The first main result is a topological rigidity theorem for complete immersed hypersurfaces of spherical space forms which extends similar results due to do Carmo/Warner, Wang/Xia…

math.GT2018★ 1 cited

On a class of immersions of spheres into space forms of nonpositive curvature

Pedro Zühlke

Let $M^{n + 1}$ ( $n \geq 2$ ) be a simply-connected space form of sectional curvature $- κ^{2}$ for some $κ \geq 0$ , and $I$ an interval not containing $[- κ, κ]$ in its interior…

math.GT2014

Homotopy type of spaces of curves with constrained curvature on flat surfaces

Nicolau C. Saldanha, Pedro Zühlke

Let $S$ be a complete flat surface, such as the Euclidean plane. We determine the homeomorphism class of the space of all curves on $S$ which start and end at given points in given…