convex projective geometry 1geometric decomposition 1locally symmetric spaces 1real hyperbolic manifolds 1Thurston geometries 1
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math.DG2025
Weakly almost-Fuchsian manifolds are nearly-Fuchsian
Manh-Tien Nguyen, Jean-Marc Schlenker, Andrea Seppi
We show that a hyperbolic three-manifold containing a closed minimal surface with principal curvatures in also contains nearby (non-minimal) surfaces with principal cu…
math.DG2024
Uniqueness and non-uniqueness for the asymptotic Plateau problem in hyperbolic space
Zheng Huang, Ben Lowe, Andrea Seppi
We prove several results on the number of solutions to the asymptotic Plateau problem in . Firstly we discuss criteria that ensure uniqueness. Given a Jordan curve $Î…
math.DG2024
Entire hypersurfaces of constant scalar curvature in Minkowski space
Pierre Bayard, Andrea Seppi
We show that every regular domain in Minkowski space which is not a wedge admits an entire hypersurface whose domain of dependence is an…