Prof. Dr Thomas Mettler

Publications

The titles below link to the published journal versions of the articles, with green links indicating open access. For freely available preprint versions, please follow the arXiv links.

Preprints

• Flat extensions of principal connections and the Chern--Simons 3-form (with A. Cap, K. Flood) [arXiv]

Journal Articles

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