Domínguez Vázquez, Miguel2024-10-042024-10-042015Int. Math. Res. Not. (IMRN) 2015 (2015), no. 22, 12114-12125http://hdl.handle.net/10347/35004This is a pre-copyedited, author-produced version of an article accepted for publication in "International Mathematics Research Notices" following peer review. The version of record [Miguel Domínguez-Vázquez, Canonical Extension of Submanifolds and Foliations in Noncompact Symmetric Spaces, International Mathematics Research Notices, Volume 2015, Issue 22, 2015, Pages 12114–12125] is available online at: https://doi.org/10.1093/imrn/rnv072We propose a method to extend submanifolds, singular Riemannian foliations and isometric actions from a boundary component of a noncompact symmetric space to the whole space. This extension method preserves minimal submanifolds, isoparametric foliations and polar actions, among other properties. One of the several applications yields the first examples of inhomogeneous isoparametric hypersurfaces in noncompact symmetric spaces of rank at least two.engjournal article10.1093/imrn/rnv072open access