Geometric resolution of singular Riemannian foliations

DOI10.1007/s10711-010-9488-5zbMath1207.53035arXiv0904.2019OpenAlexW2087735055MaRDI QIDQ605089

Alexander Lytchak

Publication date: 23 November 2010

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0904.2019

zbMATH Keywords

conjugate pointsisometric group actionsisoparametric foliationsproper foliations

Mathematics Subject Classification ID

Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Global Riemannian geometry, including pinching (53C20) Foliations (differential geometric aspects) (53C12) Foliations in differential topology; geometric theory (57R30)

Related Items (20)

Isometric actions on spheres with an orbifold quotient ⋮ Leaf closures of Riemannian foliations: a survey on topological and geometric aspects of Killing foliations ⋮ Progress in the theory of singular Riemannian foliations ⋮ Singular Riemannian foliations and applications to positive and non-negative curvature: Figure 1. ⋮ Core reduction for singular Riemannian foliations and applications to positive curvature ⋮ Singular Riemannian foliations and isoparametric submanifolds ⋮ A-foliations of codimension two on compact simply-connected manifolds ⋮ CAT(0) spaces of higher rank. II ⋮ Almost non-negative curvature and rational ellipticity in cohomogeneity two ⋮ Polar foliations and isoparametric maps ⋮ Polar foliations of symmetric spaces ⋮ Representations with \(\mathsf{Sp}(1)^k\)-reductions and quaternion-Kähler symmetric spaces ⋮ Differentiable classification of 4-manifolds with singular Riemannian foliations ⋮ Real hypersurfaces with two principal curvatures in complex projective and hyperbolic planes ⋮ On polar foliations and the fundamental group ⋮ Point leaf maximal singular Riemannian foliations in positive curvature ⋮ Submanifold geometry in symmetric spaces of noncompact type ⋮ ON CLOSED GEODESICS IN THE LEAF SPACE OF SINGULAR RIEMANNIAN FOLIATIONS ⋮ Laplacian algebras, manifold submetries and the inverse invariant theory problem ⋮ Polar foliations on symmetric spaces and mean curvature flow

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