Abstract: The only known class of integrable metrics on the 2-torus is the so-called Liouville metrics, i.e. Riemannian metrics of the form (f(x) + g(y)) (dx^2 + dy^2). We study the deformations of Liouville metrics within the same conformal class by trigonometric polynomials. We show that a generic Liouville metric is spectrally rigid under such deformations. This is a joint work with Joscha Henheik, Yunzhe Li, and Amir Vig.
Deformational spectral rigidity of Liouville metrics
20.02.2026 15:15 - 16:00
Organiser:
H. Bruin, R. Zweimüller
Location:
TBA
Location:
HS 12, OMP 1