Thomas Mettler

activity

20232026

collaborators

3 papers

math.DG2026

Prescribing geodesics and a variational problem for Riemannian metrics

Thomas Mettler

Given a prescription of unparametrised paths on a manifold $M$ , one path for each tangent direction, we may ask whether these paths agree with the geodesics of a Riemannian metric…

math.DG2024

Flat extensions of principal connections and the Chern-Simons $3$ -form

Andreas Čap, Keegan J. Flood, Thomas Mettler

We introduce the notion of a flat extension of a connection $θ$ on a principal bundle. Roughly speaking, $θ$ admits a flat extension if it arises as the pull-back of a component of…

math.DG2023

The Schwarzian derivative and the degree of a classical minimal surface

Thomas Mettler, Lukas Poerschke

Using the Schwarzian derivative we construct a sequence $(P_{ℓ})_{ℓ ⩾ 2}$ of meromorphic differentials on every non-flat oriented minimal surface in Euclid…

Prescribing geodesics and a variational problem for Riemannian metrics

Flat extensions of principal connections and the Chern-Simons 3-form

The Schwarzian derivative and the degree of a classical minimal surface

Flat extensions of principal connections and the Chern-Simons $3$ -form