2 papers
math.GT2025
Properness and finiteness of totally geodesic submanifolds in the convex core
Minju Lee, Hee Oh
We study totally geodesic submanifolds in the convex core of geometrically finite rank-one locally symmetric manifolds. Although the infinite-volume setting can exhibit highly comp…
math.DS2025
Horocycles in hyperbolic 3-manifolds with round SierpiÅski limit sets
Dongryul M. Kim, Minju Lee
Let M be a geometrically finite hyperbolic 3-manifold whose limit set is a round SierpiÅski gasket, i.e. M is geometrically finite and acylindrical with a compact, totally geodesi…