Rigidity of four-dimensional compact manifolds with harmonic Weyl tensor

DOI10.1007/s10231-016-0557-8zbMath1354.53054arXiv1410.3398OpenAlexW2964295604MaRDI QIDQ343512

Ernani jun. Ribeiro

Publication date: 28 November 2016

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.3398

zbMATH Keywords

Einstein manifolds4-manifoldsbiorthogonal curvature

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global Riemannian geometry, including pinching (53C20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (7)

Four-manifolds of pinched sectional curvature ⋮ A note on rigidity of Einstein four-manifolds with positive sectional curvature ⋮ Rigidity of positively curved shrinking Ricci solitons in dimension four ⋮ Some results on four-manifolds with nonnegative biorthogonal curvature ⋮ SOME SPHERE THEOREMS FOR SUBMANIFOLDS WITH POSITIVE BIORTHOGONAL CURVATURE ⋮ Einstein four-manifolds with sectional curvature bounded from above ⋮ FOUR-MANIFOLDS WITH POSITIVE CURVATURE

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