111 citations · 1.5k across the 66 of their papers we have counts for
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math.DG2015★ 6 cited
Extremal conformal structures on projective surfaces
Thomas Mettler
We introduce a new functional on the space of conformal structures on an oriented projective manifold . The nonnegative quantity $\ma…
math.DG2015★ 10 cited
Gauge theory on projective surfaces and anti-self-dual Einstein metrics in dimension four
Maciej Dunajski, Thomas Mettler
Given a projective structure on a surface , we show how to canonically construct a neutral signature Einstein metric with non-zero scalar curvature as well as a symplectic form…
math.DG2015
Convex Integration and Legendrian Approximation of Curves
Norbert Hungerbühler, Thomas Mettler, Micha Wasem
Using convex integration we give a constructive proof of the well-known fact that every continuous curve in a contact -manifold can be approximated by a Legendrian curve.