Nikolas Eptaminitakis

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math.DG2026

Scattering rigidity for Hamiltonian systems with an application to Finsler geometry

Nikolas Eptaminitakis, Plamen Stefanov

We study scattering rigidity for Hamiltonian systems on $T^{*} M ∖ 0$ , where $M$ is a manifold with boundary equipped with a positively homogeneous Hamiltonian function $H(x,Î¾…

math.DG2025

Tensor Tomography on Asymptotically Hyperbolic Surfaces

Nikolas Eptaminitakis, FranÃ§ois Monard, François Monard +1

We initiate a study of the inversion of the geodesic X-ray transform $I_{m}$ over symmetric $m$ -tensor fields on asymptotically hyperbolic surfaces. This operator has a non-trivial k…

math.DG2024

The covariance metric in the Blaschke locus

Xian Dai, Nikolas Eptaminitakis

We prove that the Blaschke locus has the structure of a finite dimensional smooth manifold away from the Teichm{Ã¼}ller space and study its Riemannian manifold structure with respe…