Julia Plehnert

most citedCompact embedded minimal surfaces in

S^{2} \times S^{1}

5 citations · 5 across the 2 of their papers we have counts for

collaborators

3 papers

math.DG2013★ 5 cited

Compact embedded minimal surfaces in $S^{2} \times S^{1}$

José M. Manzano, Julia Plehnert, Francisco Torralbo

We prove that closed surfaces of all topological types, except for the non-orientable odd-genus ones, can be minimally embedded in the Riemannian product of a sphere and a circle o…

math.DG2013

Constant mean curvature $k$ -noids in homogeneous manifolds

Julia Plehnert

For each $k \geq 2$ , we construct two families of surfaces with constant mean curvature $H$ for $H \in [0, 1/2]$ in $Σ (κ) \times R$ where $κ + 4 H^{2} \leq 0$ . The surfaces are invariant under…

math.DG2012

Surfaces with constant mean curvature 1/2 and genus one in H2xR

Julia Plehnert

We construct new constant mean curvature surfaces in H2xR. They arise as sister surfaces of Plateau solutions. It is a family of MC 1/2 surfaces with k ends, genus 1 and k-fold dih…

Compact embedded minimal surfaces in S2×S1

Constant mean curvature k-noids in homogeneous manifolds

Surfaces with constant mean curvature 1/2 and genus one in H2xR

Compact embedded minimal surfaces in $S^{2} \times S^{1}$

Constant mean curvature $k$ -noids in homogeneous manifolds