Melanie Rupflin

activity

20122023

most citedSharp quantitative rigidity results for maps from

S^{2}

S^{2}

of general degree

2 citations · 3 across the 4 of their papers we have counts for

collaborators

4 papers

math.AP2023★ 2 cited

Sharp quantitative rigidity results for maps from $S^{2}$ to $S^{2}$ of general degree

Melanie Rupflin

As the energy of any map $v$ from $S^{2}$ to $S^{2}$ is at least $4 π ∣ d e g (v) ∣$ with equality if and only if $v$ is a rational map one might ask whether maps with small energy d…

math.AP2023

Low energy levels of harmonic maps into analytic manifolds

Melanie Rupflin

We consider the energy spectrum $Ξ_{E} (N)$ of harmonic maps from the sphere into a closed Riemannian manifold $N$ . While a well known conjecture asserts that $Ξ_{E} (N)$ is discrete whe…

math.DG2014★ 1 cited

Weak solutions to mean curvature flow respecting obstacles I: the graphical case

Melanie Rupflin, Oliver C. Schnürer

We consider the problem of evolving hypersurfaces by mean curvature flow in the presence of obstacles, that is domains which the flow is not allowed to enter. In this paper, we tre…

math.DG2012

Flowing maps to minimal surfaces: Existence and uniqueness of solutions

Melanie Rupflin

We study the new geometric flow that was introduced in [11] that evolves a pair of map and (domain) metric in such a way that it changes appropriate initial data into branched mini…

Sharp quantitative rigidity results for maps from S2 to S2 of general degree

Low energy levels of harmonic maps into analytic manifolds

Weak solutions to mean curvature flow respecting obstacles I: the graphical case

Flowing maps to minimal surfaces: Existence and uniqueness of solutions

Sharp quantitative rigidity results for maps from $S^{2}$ to $S^{2}$ of general degree