Polar foliations and isoparametric maps

DOI10.1007/s10455-011-9277-xzbMath1242.53030arXiv1102.1018OpenAlexW2062601647MaRDI QIDQ663451

Marcos M. Alexandrino

Publication date: 15 February 2012

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.1018

zbMATH Keywords

Weyl grouppolar actionssingular Riemannian foliationsisoparametric mapspolar foliationstransnormal maps

Mathematics Subject Classification ID

Foliations (differential geometric aspects) (53C12) Foliations in differential topology; geometric theory (57R30)

Related Items

Progress in the theory of singular Riemannian foliations ⋮ On singular Finsler foliation ⋮ Horizontal diameter of unit spheres with polar foliations and infinitesimally polar actions

Cites Work

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• Geometric resolution of singular Riemannian foliations
• Singular Riemannian foliations and isoparametric submanifolds
• Groups generated by reflections and aspherical manifolds not covered by Euclidean space
• Isoparametric functions on Riemannian manifolds. I
• Critical point theory and submanifold geometry
• On polar foliations and the fundamental group
• Singular Riemannian foliations with sections
• Integrable Riemannian submersion with singularities
• Isoparametric submanifolds and their Coxeter groups
• Singular Riemannian foliations with sections, transnormal maps and basic forms
• Proofs of conjectures about singular Riemannian foliations
• Singular Riemannian foliations on simply connected spaces
• Generalised Cartan Polynomials
• Equifocality of a singular Riemannian foliation
• Parallel focal structure and singular Riemannian foliations