On the Hopf conjecture with symmetry

DOI10.2140/gt.2013.17.563zbMath1267.53038arXiv1203.3808OpenAlexW2953296137WikidataQ123270347 ScholiaQ123270347MaRDI QIDQ1945758

Lee Kennard

Publication date: 9 April 2013

Published in: Lecture Notes in Mathematics, Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.3808

zbMATH Keywords

Euler characteristicpositive sectional curvatureSteenrod algebraHopf conjectureisometric torus actiongrove programSteenrod squates

Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20) Global Riemannian geometry, including pinching (53C20) Specialized structures on manifolds (spin manifolds, framed manifolds, etc.) (57R15) Steenrod algebra (55S10)

Related Items (15)

Topological properties of positively curved manifolds with symmetry ⋮ Leaf closures of Riemannian foliations: a survey on topological and geometric aspects of Killing foliations ⋮ Positive curvature, symmetry, and topology ⋮ Torus actions, fixed-point formulas, elliptic genera and positive curvature ⋮ Rationally 4-periodic biquotients ⋮ Geometry. Abstracts from the workshop held June 12--18, 2022 ⋮ A panoramic glimpse of manifolds with sectional curvature bounded from below ⋮ On the Hopf conjecture with symmetry ⋮ Positive curvature and symmetry in small dimensions ⋮ On the class of metrics \(g\) on \({\mathbb {S}}^2\times {\mathbb {S}}^2\) conformal to the standard metric \(g_0\) induced by \({\mathbb {R}}^6\) and the Hopf conjecture ⋮ Cohomogeneity one manifolds with singly generated rational cohomology ⋮ Positively curved Riemannian metrics with logarithmic symmetry rank bounds ⋮ Positive curvature and rational ellipticity ⋮ Fundamental groups of manifolds with positive sectional curvature and torus symmetry ⋮ Positively curved Killing foliations via deformations

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