Positive biorthogonal curvature on $S^2\times S^2$

DOI10.1090/S0002-9939-2014-12173-3zbMath1348.53041arXiv1210.0043MaRDI QIDQ2930642

Renato G. Bettiol

Publication date: 19 November 2014

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.0043

zbMATH Keywords

Riemannian manifoldspositive sectional curvature\(S^2\times S^2\)

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Methods of local Riemannian geometry (53B21)

Related Items (9)

Rigidity of four-dimensional compact manifolds with harmonic Weyl tensor ⋮ Four-manifolds of pinched sectional curvature ⋮ Existence of Riemannian metrics with positive biorthogonal curvature on simply connected 5-manifolds ⋮ SOME SPHERE THEOREMS FOR SUBMANIFOLDS WITH POSITIVE BIORTHOGONAL CURVATURE ⋮ Four-dimensional compact manifolds with nonnegative biorthogonal curvature ⋮ Harmonic 2-forms and positively curved 4-manifolds ⋮ Four-manifolds with harmonic 2-forms of constant length ⋮ FOUR-MANIFOLDS WITH POSITIVE CURVATURE ⋮ How to lift positive Ricci curvature

Cites Work

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• On the curvature of biquotients
• Metrics with nonnegative isotropic curvature
• Curvature and symmetry of Milnor spheres
• Curvature increasing metric variations
• Some examples of manifolds of nonnegative curvature
• On Manifolds with Nonnegative Curvature on Totally Isotropic 2-Planes
• Orthogonally pinched curvature tensors and applications.

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