Lie Groups and Geometric Aspects of Isometric Actions
From MaRDI portal
Publication:5245257
DOI10.1007/978-3-319-16613-1zbMath1322.22001OpenAlexW995756225MaRDI QIDQ5245257
Marcos M. Alexandrino, Renato G. Bettiol
Publication date: 7 April 2015
Full work available at URL: https://doi.org/10.1007/978-3-319-16613-1
Lie groupsLie algebrashomogeneous spaceproper actionpositive curvatureadjoint representationisometric actionpolar foliationlow cohomogeneity action
General properties and structure of real Lie groups (22E15) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Research exposition (monographs, survey articles) pertaining to topological groups (22-02) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to topological groups (22-01)
Related Items
Integral foliated simplicial volume and circle foliations ⋮ Smoothness conditions in cohomogeneity one manifolds ⋮ On the completeness of dual foliations on nonnegatively curved symmetric spaces ⋮ Leaf closures of Riemannian foliations: a survey on topological and geometric aspects of Killing foliations ⋮ Diffeomorphic souls and disconnected moduli spaces of nonnegatively curved metrics ⋮ Vector bundles of non-negative curvature over cohomogeneity one manifolds ⋮ Teichmüller theory and collapse of flat manifolds ⋮ A group theoretic proof of a compactness lemma and existence of nonradial solutions for semilinear elliptic equations ⋮ Index of equivariant Callias-type operators and invariant metrics of positive scalar curvature ⋮ Strongly nonnegative curvature ⋮ Short survey on the existence of slices for the space of Riemannian metrics ⋮ Torus actions on Alexandrov 4-spaces ⋮ Core reduction for singular Riemannian foliations and applications to positive curvature ⋮ Isometric actions on the four dimensional Minkowski spacetime ⋮ Phase transitions in TGFT: a Landau-Ginzburg analysis of Lorentzian quantum geometric models ⋮ Harmonic Gauss maps of submanifolds of arbitrary codimension of the Euclidean space and sphere and some applications ⋮ On Finsler transnormal functions ⋮ Homogeneous hypersurfaces in symmetric spaces ⋮ The Geometry of Speed Limiting Resources in Physical Models of Computation ⋮ Isoparametric hypersurfaces in symmetric spaces of non-compact type and higher rank ⋮ The full group of isometries of some compact Lie groups endowed with a bi-invariant metric ⋮ Invariant measures and lower Ricci curvature bounds ⋮ A-foliations of codimension two on compact simply-connected manifolds ⋮ Three-Dimensional Alexandrov Spaces: A Survey ⋮ Isometric Lie 2-group actions on Riemannian groupoids ⋮ Cohomogeneity one manifolds and homogeneous spaces of positive scalar curvature ⋮ A Grassmann manifold handbook: basic geometry and computational aspects ⋮ Hydrodynamic Killing vector fields on surfaces ⋮ Equivariant solutions to the optimal partition problem for the prescribed \(Q\)-curvature equation ⋮ Conformal Killing symmetric tensors on Lie groups ⋮ Isometric extensions of Anosov flows via microlocal analysis ⋮ Three-dimensional Alexandrov spaces with local isometric circle actions ⋮ On the isometry group of \(RCD^*(K,N)\)-spaces ⋮ Moduli space of metrics of nonnegative sectional or positive Ricci curvature on homotopy real projective spaces ⋮ On singular Finsler foliation ⋮ On cohomogeneity two Riemannian manifolds of non-positive curvature ⋮ Suborbifolds, quotients and transversality ⋮ Prescribed Riemannian symmetries ⋮ Submanifold geometry in symmetric spaces of noncompact type ⋮ Loxodromes on invariant surfaces in three-manifolds ⋮ Curvature homogeneous manifolds in dimension 4 ⋮ 7 Manifold interpolation ⋮ Prolongations of isometric actions to vector bundles ⋮ A classification theorem for compact Cauchy horizons in vacuum spacetimes ⋮ The first eigenvalue of a homogeneous CROSS ⋮ Positively curved Killing foliations via deformations ⋮ Isoparametric surfaces in $E(\kappa,\tau)$-spaces ⋮ Nearly Parallel G2-structures with Large Symmetry Group ⋮ Ricci flow does not preserve positive sectional curvature in dimension four ⋮ Ancient solutions of the homogeneous Ricci flow on flag manifolds ⋮ The moduli space of nonnegatively curved metrics on quotients of \(S^2 \times S^3\) by involutions ⋮ Yamabe problem in the presence of singular Riemannian foliations ⋮ On the existence of balanced metrics on six-manifolds of cohomogeneity one ⋮ Prescribing Ricci curvature on a product of spheres ⋮ Bour's theorem and helicoidal surfaces with constant mean curvature in the Bianchi-Cartan-Vranceanu spaces
