On complete maximal submanifolds in pseudo-hyperbolic space

2023/05/24 by Andrea Seppi, Graham Smith, Seppi, Andrea +3 · 3 citations
Mathematics · #Geometric and Algebraic Topology #Analytic and geometric function theory #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2305.15103

Abstract

We provide a full classification of complete maximal p-dimensional spacelike submanifolds in the pseudo-hyperbolic space H^p,q, and we study its applications to Teichmüller theory and to the theory of Anosov representations of hyperbolic groups in PO(p,q+1).

Cited by

• Equiaffine immersions and pseudo-Riemannian space forms
• Geometric components of representation spaces via robust families of submanifolds
• Generalized convexity and quantitative estimates for constant mean curvature spacelike hypersurfaces in Anti-de Sitter space

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