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A pinching theorem for four manifolds

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Publication:1824874
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DOI10.1007/BF00184157zbMath0683.53041MaRDI QIDQ1824874

Walter Seaman

Publication date: 1989

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


zbMATH Keywords

sectional curvaturepinching theoremfour- manifoldsFreedman's classification


Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)


Related Items (5)

Les variétés riemanniennes de dimension 4 4/19-pincées. (4/19- pinched Riemannian manifolds of dimension 4) ⋮ Harmonic Two-Forms in Four Dimensions ⋮ Curvature, Sphere Theorems, and the Ricci flow ⋮ Harmonic 2-forms and positively curved 4-manifolds ⋮ Einstein four-manifolds of three-nonnegative curvature operator



Cites Work

  • The topology of four-dimensional manifolds
  • Sur une inégalité isopérimétrique qui généralise celle de Paul Lévy-Gromov. (On an isoperimetric inequality which generalizes that of Paul Lévy-Gromov)
  • Sur les variétés riemanniennes pincées juste au-dessous de 1/4
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