On a compact Lie group acting on a manifold
From MaRDI portal
Publication:769366
DOI10.2307/1970056zbMath0080.16702OpenAlexW2334528746WikidataQ115229557 ScholiaQ115229557MaRDI QIDQ769366
Publication date: 1957
Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/1970056
Related Items (92)
Actions of SO(3) on 4-dimensional stable planes ⋮ \(S\)-curvature of cohomogeneity one Randers spaces ⋮ Locally Free Actions and Stiefel-Whitney Numbers. II ⋮ On cohomogeneity one Hermitian non-Kähler metrics ⋮ ON EUCLIDEAN G-MANIFOLDS WHICH HAVE TWO DIMENSIONAL ORBIT SPACES ⋮ Cohomogeneity one manifolds and hypersurfaces of the Euclidean space ⋮ Isoperimetric inequalities, isometric actions and the higher Newman numbers ⋮ A glance at three-dimensional Alexandrov spaces ⋮ Vector bundles of non-negative curvature over cohomogeneity one manifolds ⋮ Compact groups on compact projective planes ⋮ Compact Einstein-Weyl manifolds with large symmetry group ⋮ Immersions of cohomogeneity one Riemannian manifolds ⋮ Unnamed Item ⋮ Geometric transitions with Spin(7) holonomy via a dynamical system ⋮ Some topological properties of cohomogeneity one manifolds with negative curvature ⋮ Compact projective planes with homogeneous ovals ⋮ Cohomogeneity one Riemannian manifolds and Killing fields ⋮ Cohomogeneity one manifolds with positive Euler characteristic ⋮ Closed three-dimensional Alexandrov spaces with isometric circle actions ⋮ \(R^2\)-planes with 2-dimensional point transitive automorphism group ⋮ Cohomogeneity one actions on Minkowski spaces ⋮ A classification of cohomogeneity one actions on the Minkowski space \(\mathbb{R}^{3,1}\) ⋮ Cohomogeneity one actions on the three-dimensional Einstein universe ⋮ Torus actions on Alexandrov 4-spaces ⋮ On the Landau-de Gennes elastic energy of a \(Q\)-tensor model for soft biaxial nematics ⋮ Topological structure of candidates for positive curvature ⋮ Isometric actions on the four dimensional Minkowski spacetime ⋮ Realization of GKM fibrations and new examples of Hamiltonian non-Kähler actions ⋮ Counterexamples to the nonsimply connected double soul conjecture ⋮ Actions on the Four-Dimensional Pseudo-Euclidean Space ℝ2,2 with a Three-Dimensional Orbit ⋮ Cohomogeneity one Alexandrov spaces in low dimensions ⋮ A-foliations of codimension two on compact simply-connected manifolds ⋮ Three-Dimensional Alexandrov Spaces: A Survey ⋮ Equivariant embeddings of low dimensional symmetric planes ⋮ Cohomogeneity one manifolds and homogeneous spaces of positive scalar curvature ⋮ Some classes of almost Hermitian structures that can be realized on $S^6$ ⋮ GKM actions on cohomogeneity one manifolds ⋮ Eigenfunctions and eigenvalues on surfaces of revolution ⋮ Homogeneous Sphere Bundles and the Isotropic Riemann Manifolds ⋮ Degree of Symmetry of a Product Manifold ⋮ Unnamed Item ⋮ Recent Results on Real Hypersurfaces in Complex Quadrics ⋮ Fundamental groups of 4-manifolds with circle actions ⋮ Hypersurfaces of cohomogeneity one and hypersurfaces of revolution. ⋮ On groups acting by cohomogeneity one on the Euclidean space \(\mathbb{R}^n\) ⋮ Non-negatively curved 6-manifolds with almost maximal symmetry rank ⋮ The existence of embedded \(G\)-invariant minimal hypersurface ⋮ SU(3)-manifolds of cohomogeneity one ⋮ Localization of certain odd-dimensional manifolds with torus actions ⋮ Kompakte zweidimensionale projektive Ebenen ⋮ Lifting group actions and nonnegative curvature ⋮ On the automorphism group of a symplectic half-flat 6-manifold ⋮ Equivariant cohomology of cohomogeneity-one actions: the topological case ⋮ Cohomogeneity one topological manifolds revisited ⋮ Low dimensional actions of semisimple groups ⋮ Non-abelian GKM theory ⋮ Quantization of midisuperspace models ⋮ Cohomogeneity one Alexandrov spaces ⋮ Singular orbits in cohomogeneity one pseudo-Euclidean space \(\mathbb R^4_\nu \) ⋮ Special cohomogeneity-one metrics with \(Q^{1,1,1}\) or \(M^{1,1,0}\) as the principal orbit ⋮ Point homogeneous flat affine planes ⋮ On symmetric gauge fields ⋮ Halbeinfache Automorphismengruppen von vierdimensionalen stabilen Ebenen sind quasi-einfach ⋮ Cohomogeneity one anti de Sitter space \(\mathrm{AdS}^{n+1}\) ⋮ Low-dimensional manifolds with non-negative curvature and maximal symmetry rank ⋮ Nonnegatively curved 5-manifolds with almost maximal symmetry rank ⋮ Manifolds with large isotropy groups ⋮ Classification of 4-dimensional symmetric planes ⋮ Homotopieklassen idempotenter Multiplikationen ⋮ Über sphärische Möbiusebenen ⋮ Zur Klassifikation von Salzmann-Ebenen mit dreidimensionaler Kollineationsgruppe ⋮ Salzmann-Ebenen mit hinreichend vielen Punkt- oder Geradenspiegelungen ⋮ Topological Loops With Invariant Uniformities ⋮ Torus actions, maximality, and non-negative curvature ⋮ On cohomogeneity one linear actions on pseudo-Euclidean space \(\mathbb{R}^{p , q} \) ⋮ Sphärische Kreisebenen ⋮ Cohomogeneity one manifolds and self-maps of nontrivial degree ⋮ Positively curved Riemannian orbifolds and Alexandrov spaces with circle symmetry in dimension 4 ⋮ Weakly reflective submanifolds and austere submanifolds ⋮ Topologische distributive Doppelloops ⋮ Topologische Doppelloops und topologische Halbgruppen ⋮ Regular parallelisms on \(\mathrm{PG}(3,\mathbb{R})\) admitting a \(2\)-torus action ⋮ Stable planes with isotropic points ⋮ On joint continuity in semigroups on compact manifolds with boundary ⋮ The equivariant cohomology ring of a cohomogeneity-one action ⋮ Two-dimensional stable planes with non-solvable automorphism group ⋮ Hyperbolic manifolds of dimension \(n\) with automorphism group of dimension \(n^2-1\) ⋮ On space-times with U(1)\(\times U(1)\) symmetric compact Cauchy surfaces ⋮ On spin(7) holonomy metric based on \(\text{SU}(3)/\text{U}(1). \) II ⋮ Cohomogeneity-one \(G_{2}\)-structures ⋮ Sharp systolic inequalities for rotationally symmetric 2-orbifolds ⋮ Cohomogeneity and positive curvature in low dimensions
This page was built for publication: On a compact Lie group acting on a manifold