Algebraic nature of singular Riemannian foliations in spheres

DOI10.1515/crelle-2016-0010zbMath1423.53026arXiv1504.04039OpenAlexW2964342530WikidataQ115236878 ScholiaQ115236878MaRDI QIDQ1992253

Alexander Lytchak, Marco Radeschi

Publication date: 5 November 2018

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.04039

zbMATH Keywords

sphereaveragingsingular Riemannian foliationalgebraic

Mathematics Subject Classification ID

Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Foliations (differential geometric aspects) (53C12) Foliations in differential topology; geometric theory (57R30)

Related Items (10)

Singular Riemannian foliations and their quadratic basic polynomials ⋮ Closure of singular foliations: the proof of Molino’s conjecture ⋮ A diameter gap for quotients of the unit sphere ⋮ Equivariant basic cohomology of singular Riemannian foliations ⋮ Maximality of Laplacian algebras, with applications to invariant theory ⋮ Rigidity theorems for submetries in positive curvature ⋮ On the horizontal diameter of the unit sphere ⋮ Horizontal diameter of unit spheres with polar foliations and infinitesimally polar actions ⋮ Laplacian algebras, manifold submetries and the inverse invariant theory problem ⋮ Polar foliations on symmetric spaces and mean curvature flow

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