Rigidity of Riemannian manifolds with positive scalar curvature

DOI10.1007/s10455-018-9600-xzbMath1433.53073arXiv1707.00902OpenAlexW2962831942WikidataQ115384564 ScholiaQ115384564MaRDI QIDQ1994068

Guangyue Huang

Publication date: 1 November 2018

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.00902

zbMATH Keywords

rigidityYamabe invariantharmonic curvatureBach-flat

Mathematics Subject Classification ID

Rigidity results (53C24) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

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Cites Work

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• Bach-flat critical metrics of the volume functional on 4-dimensional manifolds with boundary
• Integral pinched shrinking Ricci solitons
• Effective \(L_p\) pinching for the concircular curvature
• Refined Kato inequalities and conformal weights in Riemannian geometry
• On Bach-flat gradient shrinking Ricci solitons
• Rigidity theorem for integral pinched shrinking Ricci solitons
• Integral pinched gradient shrinking \(\rho\)-Einstein solitons
• Einstein manifolds

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