wovepaper · research, woven together

papers

Publications (80)

math.GT2026

Fractal closures of geodesic planes in Hitchin manifolds

Subhadip Dey, Hee Oh

Ratner's theorem implies topological rigidity of immersed totally geodesic subspaces of noncompact type in finite-volume locally symmetric spaces. In higher rank and infinite volum…

math.DS2025

Properly discontinuous actions, growth indicators, and conformal measures for transverse subgroups

Dongryul M. Kim, Hee Oh, Yahui Wang

Let $G$ be a connected semisimple real algebraic group. The class of transverse subgroups of $G$ includes all discrete subgroups of rank one Lie groups and any subgroups of Anosov…

math.GT2022

Euclidean traveller in hyperbolic worlds

Hee Oh

We will discuss all possible closures of a Euclidean line in various geometric spaces. Imagine the Euclidean traveller, who travels only along a Euclidean line. She will be travell…

math.DS2018

Geodesic planes in geometrically finite acylindrical 3-manifolds

Yves Benoist, Hee Oh

Let $M$ be a geometrically finite acylindrical hyperbolic 3-manifold and let $M^{*}$ denote the interior of the convex core of M. We show that any geodesic plane in $M^{*}$ is either c…

math.DS2023

Ergodic decompositions of geometric measures on Anosov homogeneous spaces

Minju Lee, Hee Oh

Let $G$ be a connected semisimple real algebraic group and $I^$ a Zariski dense Anosov subgroup of $G$ with respect to a minimal parabolic subgroup $P$ . Let $N$ be the maximal horo…

math.DS2022

Invariant measures for horospherical actions and Anosov groups

Minju Lee, Hee Oh

Let $I^$ be a Zariski dense Anosov subgroup of a connected semisimple real algebraic group $G$ . For a maximal horospherical subgroup $N$ of $G$ , we show that the space of all non-t…