49 citations · 351 across the 60 of their papers we have counts for
77 papers
Zoll magnetic structures and ruled surfaces
Jan Bohr, Gabriel P. Paternain
A Zoll magnetic system on an oriented closed surface is a Riemannian metric together with a function , such that every unit speed solution of the O…
Conformal boundary rigidity from null geodesic travel times
Gabriel Paternain, Eric Woolgar
The gravitational field of a distant, isolated system is manifested by the conformally invariant Weyl tensor. Thus the conformal structure far from the system encodes the system's…
An inverse problem for the Standard Model of particle physics
Xi Chen, Matti Lassas, Lauri Oksanen +1
We pose and solve an inverse problem for the classical field equations that arise in the Standard Model of particle physics. Our main result describes natural conditions on the rep…
On the interplay between the light ray and the magnetic X-ray transforms
Lauri Oksanen, Gabriel P. Paternain, Miika Sarkkinen
We study the light ray transform acting on tensors on a stationary Lorentzian manifold. Our main result is injectivity up to the natural obstruction as long as the associated magne…
Quasi-Fuchsian flows and the coupled vortex equations
Mihajlo Cekić, Gabriel P. Paternain
We provide an alternative construction of the quasi-Fuchsian flows introduced by Ghys in \cite{Ghys-92}. Our approach is based on the coupled vortex equations that allows to see th…
Biholomorphism Rigidity for Transport Twistor Spaces
Jan Bohr, François Monard, Gabriel P. Paternain
We prove that biholomorphisms between the transport twistor spaces of simple or Anosov surfaces exhibit rigidity: they must be, up to constant rescaling and the antipodal map, the…