Einstein manifolds with finite \(L^p\)-norm of the Weyl curvature

DOI10.1016/J.DIFGEO.2017.07.003zbMath1371.53033OpenAlexW2737300623WikidataQ115355345 ScholiaQ115355345MaRDI QIDQ2399783

Li-Qun Xiao, Hai-Ping Fu

Publication date: 24 August 2017

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

Full work available at URL: https://doi.org/10.1016/j.difgeo.2017.07.003

zbMATH Keywords

Einstein manifoldWeyl curvature tensorYamabe constant

Mathematics Subject Classification ID

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

Related Items (11)

Rigidity of Einstein metrics as critical points of quadratic curvature functionals on closed manifolds ⋮ Rigidity theorem for compact Bach-flat manifolds with positive constant \(\sigma_2\) ⋮ On compact Riemannian manifolds with harmonic Weyl curvature ⋮ Unnamed Item ⋮ Some remarks on Bach-flat manifolds with positive constant scalar curvature ⋮ On the asymptotically Poincaré-Einstein 4-manifolds with harmonic curvature ⋮ Four-manifolds with positive Yamabe constant ⋮ On critical point equation of compact manifolds with zero radial Weyl curvature ⋮ Rigidity Theorem for Integral Pinched Static Manifolds and Related Critical Spaces ⋮ On the geometry of \(\varphi\)-curvatures ⋮ Rigidity of Einstein metrics as critical points of some quadratic curvature functionals on complete manifolds

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