3 papers
math.GT2026
Geodesic currents of coarse negative curvature
Meenakshy Jyothis, DÃdac MartÃnez-Granado
Strong hyperbolicity is a coarse notion of negative curvature, stronger than Gromov hyperbolicity, that includes all CAT(-k) metrics for k positive and allows the use of dynamical…
math.GT2026
Horoboundary and rigidity of filling geodesic currents
Meenakshy Jyothis, DÃdac MartÃnez-Granado
We endow the space of projective filling geodesic currents on a closed hyperbolic surface with a natural asymmetric metric extending Thurston's asymmetric metric on Teichmüller sp…
math.GT2025
Towards Ivanov's meta-conjecture for geodesic currents
Meenakshy Jyothis
Given a closed, orientable surface of negative Euler characteristic, we study two automorphism groups: and , groups of homeomorphisms that…