A gap theorem for Ricci-flat 4-manifolds

DOI10.1016/j.difgeo.2015.02.012zbMath1318.53025arXiv1210.7488OpenAlexW2003783258WikidataQ115355994 ScholiaQ115355994MaRDI QIDQ2348094

Harish Seshadri, Atreyee Bhattacharya

Publication date: 10 June 2015

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.7488

zbMATH Keywords

rigidityEinstein manifoldsBochner formula

Mathematics Subject Classification ID

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

Cites Work

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• Compact Kaehler-Einstein surfaces of nonpositive bisectional curvature
• On Einstein manifolds of positive sectional curvature
• Rigidity of Einstein 4-manifolds with positive curvature
• Einstein manifolds with nonnegative isotropic curvature are locally symmetric
• A theorem on Riemannian manifolds of positive curvature operator

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