Year: 2025
Type: article
Abstract: We study nearly geodesic immersions in higher-rank symmetric spaces of noncompact type, which we define as immersions that satisfy a bound on their fundamental form, generalizing the notion of immersions in hyperbolic space with principal curvature in .1; 1/.This notion depends on the choice of a flag manifold embedded in the visual boundary, and immersions satisfying this bound admit a natural domain in this flag manifold that comes with a fibration.As an application we give an explicit fibration of some domains of discontinuity for some Anosov representations.Our method can be applied in particular to some ‚-positive representations for each notion of ‚-positivity.
Source: Geometry & Topology
Author: Colin Davalo
Institution: Heidelberg University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W4413315298