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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.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.GT2025
Deformations of Anosov subgroups: Limit cones and Growth indicators
Subhadip Dey, Hee Oh
Let be a connected semisimple real algebraic group. We prove that limit cones vary continuously under deformations of Anosov subgroups of under a certain convexity assumpti…