Prof. Dr Thomas Mettler

Publications

The titles below link to the published journal versions of the articles, for freely available preprint versions, please follow the arXiv links.

Preprints

• Twistor geometric aspects of projective surfaces

Published / accepted for publication

1. Flat extensions of principal connections and the Chern--Simons 3-form (with A. Cap, K. Flood),
   Ann. Henri Lebesgue (to appear) [arXiv]
2. The Schwarzian derivative and the degree of a classical minimal surface (with L. Poerschke),
   Exp. Math. 34 (2025) [arXiv]
3. Induced almost para-Kähler Einstein metrics on cotangent bundles (with A. Cap),
   Q. J. Math. 75 (2024) [arXiv]
4. Geometric theory of Weyl structures (with A. Cap),
   Commun. Contemp. Math. 25 (2023) [arXiv]
5. Deformations of the Veronese embedding and Finsler 2-spheres of constant curvature (with C. Lange),
   J. Inst. Math. Jussieu 21 (2022) [arXiv]
6. Vortices over Riemann surfaces and dominatted splittings (with G. Paternain),
   Ergodic Theory Dynam. Systems 42 (2022) [arXiv]
7. Metrisability of projective surfaces and pseudo-holomorphic curves,
   Math. Z. 298 (2021) [arXiv]
8. Extremal conformal structures on projective surfaces,
   Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) XX (2020) [arXiv]
9. Convex projective surfaces with compatible Weyl connection are hyperbolic (with G. Paternain),
   Anal. PDE 13 (2020) [arXiv]
10. GL(2)-Structures in dimension four, H-Flatness and Integrability (with W. Krynski),
    Comm. Anal. Geom. 27 (2019) [arXiv]
11. Minimal Lagrangian connections on compact surfaces,
    Adv. Math. 354 (2019) [arXiv]
12. Holomorphic differentials, thermostats and Anosov flows (with G. Paternain),
    Math. Ann. 373 (2019) [arXiv]
13. Gauge theory on projective surfaces and anti-self-dual Einstein metrics in dimension four (with M. Dunajski),
    J. Geom. Anal. 28 (2018) [arXiv]
14. Characterizing classical minimal surfaces via the entropy differential (with J. Bernstein),
    J. Geom. Anal. 27 (2017) [arXiv]
15. Convex integration and Legendrian approximation of curves (with N. Hungerbühler, M. Wasem),
    J. Convex Anal. 24 (2017) [arXiv]
16. Geodesic rigidity of conformal connections on surfaces,
    Math. Z. 281 (2015) [arXiv]
17. Two-dimensional gradient Ricci solitons revisited (with J. Bernstein),
    Int. Math. Res. Not. 2015 (2015) [arXiv]
18. One-dimensional projective structures, convex curves and the ovals of Benguria and Loss (with J. Bernstein),
    Comm. Math. Phys. 336 (2015) [arXiv]
19. Four-dimensional Kähler metrics admitting c-projective vector fields (with A. Bolsinov, V. Matveev, S. Rosemann),
    J. Math. Pures Appl. (9) 103 (2015) [arXiv]
20. On Kähler metrisability of two-dimensional complex projective structures,
    Monatsh. Math. 174 (2014) [arXiv]
21. Weyl metrisability of two-dimensional projective structures,
    Math. Proc. Cambridge Philos. Soc. 156 (2014) [arXiv]
22. Reduction of β-integrable 2-Segre structures,
    Comm. Anal. Geom. 21 (2013) [arXiv]
23. Local embeddability of real analytic path geometries,
    Differential Geom. Appl. 30 (2012) [arXiv]
24. Soliton solutions of the mean curvature flow and minimal hypersurfaces (with N. Hungerbühler),
    Proc. Amer. Math. Soc. 140 (2012) [arXiv]
25. Charges of twisted branes: the exceptional cases (with S. Fredenhagen, M. Gaberdiel),
    J. High Energy Phys. 2005 (2005) [arXiv]

Coauthors

• Jacob Bernstein
  Johns Hopkins University
• Alexey Bolsinov
  Loughborough University
• Andreas Cap
  Universität Wien
• Maciej Dunajski
  University of Cambridge
• Stefan Fredenhagen
  Universität Wien
• Keegan Flood
  UniDistance Suisse
• Matthias Gaberdiel
  ETH Zürich
• Norbert Hungerbühler
  ETH Zürich
• Wojciech Krynski
  IMPAN Warsaw
• Christian Lange
  LMU München
• Vladimir Matveev
  FSU Jena
• Gabriel Paternain
  University of Washington
• Lukas Poerschke
• Stefan Rosemann
• Micha Wasem
  HEIA Fribourg

Supervision at UniDistance Suisse

Postdocs

• Keegan Flood, 1/2023 - 9/2025
• Micha Wasem, 7/2021 - 1/2025

PhD Students

• Lukas Poerschke (2024), PhD awarded from Goethe University Frankfurt
• Luca Giudici, 9/2025 -
• Tim Maruhn, 9/2025 -