Cohomogeneity one topological manifolds revisited

DOI10.1007/s00209-017-1915-yzbMath1390.57021arXiv1503.09068OpenAlexW2963045038MaRDI QIDQ1745305

Fernando Galaz-García, Masoumeh Zarei

Publication date: 17 April 2018

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.09068

zbMATH Keywords

smoothinggroup actioncohomogeneity onetopological manifold

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Compact groups of homeomorphisms (57S10) Smoothing in differential topology (57R10)

Related Items (11)

A glance at three-dimensional Alexandrov spaces ⋮ Vector bundles of non-negative curvature over cohomogeneity one manifolds ⋮ Torus actions on Alexandrov 4-spaces ⋮ Realization of GKM fibrations and new examples of Hamiltonian non-Kähler actions ⋮ Counterexamples to the nonsimply connected double soul conjecture ⋮ Cohomogeneity one Alexandrov spaces in low dimensions ⋮ A-foliations of codimension two on compact simply-connected manifolds ⋮ Three-Dimensional Alexandrov Spaces: A Survey ⋮ Cohomogeneity one manifolds and homogeneous spaces of positive scalar curvature ⋮ Equivariant cohomology of cohomogeneity-one actions: the topological case ⋮ The equivariant cohomology ring of a cohomogeneity-one action

Cites Work

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• Cohomogeneity one manifolds with positive Euler characteristic
• Cohomogeneity one Alexandrov spaces
• A 7-manifold with positive curvature
• Topological structure of candidates for positive curvature
• An exotic \({T_{1}\mathbb{S}^4}\) with positive curvature
• On a compact Lie group acting on a manifold
• On homogeneous cohomology spheres
• Classification of cohomogeneity one manifolds in low dimensions
• On the homology of low-dimensional cohomogeneity one manifolds
• 4-dimensional G-manifolds with 3-dimensional orbits
• Topological regularity theorems for Alexandrov spaces
• Shrinking cell-like decompositions of manifolds. Codimension three
• Cohomogeneity and positive curvature in low dimensions
• Isometry groups of singular spaces
• Cohomogeneity one manifolds with positive Ricci curvature
• Curvature and symmetry of Milnor spheres
• Metrics of positive Ricci curvature on quotient spaces
• Transformation groups in differential geometry.
• Cubic forms and complex 3-folds
• Positively curved cohomogeneity one manifolds and 3-Sasakian geometry
• Equivariant cohomology of cohomogeneity one actions
• Classification problems in differential topology. V: On certain 6- manifolds
• The index of elliptic operators. III
• A Lefschetz fixed point formula for elliptic complexes. II: Applications
• On the Pontrjagin classes of homology manifolds
• A note on topological Pontrjagin classes and the Hirzebruch index formula
• Equivariant Pontrjagin classes and applications to orbit spaces. Applications of the G-signature theorem to transformation groups, symmetric products and number theory
• The Pontrjagin class of an orbit space
• Groups of homotopy spheres. I
• Diffeomorphism type of six-dimensional cohomogeneity one manifolds
• The group of isometries of a Riemannian manifold
• QUATERNIONIC KAHLER MANIFOLDS OF COHOMOGENEITY ONE
• Orbits of Highest Dimension
• On the geometry of cohomogeneity one manifolds with positive curvature
• Smoothings of Piecewise Linear Manifolds. (AM-80)
• Characteristic Classes. (AM-76)
• Foundational Essays on Topological Manifolds, Smoothings, and Triangulations. (AM-88)
• A.D. Alexandrov spaces with curvature bounded below
• Non-compact cohomogeneity one Einstein manifolds
• A theorem of Lie groups
• Obstructions to the smoothing of piecewise-differentiable homeomorphisms

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