Orbifold compactness for spaces of Riemannian metrics and applications

DOI10.1007/s00208-004-0603-5zbMath1071.53025arXivmath/0312111OpenAlexW2087790544WikidataQ115388981 ScholiaQ115388981MaRDI QIDQ1772091

Michael T. Anderson

Publication date: 15 April 2005

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0312111

zbMATH Keywords

Ricci tensorbounded diameterspace of manifoldsbounded curvature tensorbounded volumeRiemanian tensor

Mathematics Subject Classification ID

Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Spaces and manifolds of mappings (including nonlinear versions of 46Exx) (58D99)

Related Items (17)

Space of Ricci Flows I ⋮ Compactness theorems for gradient Ricci solitons ⋮ Blowing up and desingularizing constant scalar curvature Kähler manifolds ⋮ Moduli spaces of critical Riemannian metrics with \(L^{\frac{n}{2}}\) norm curvature bounds ⋮ Local solution and extension to the Calabi flow ⋮ Sobolev inequalities and convergence for Riemannian metrics and distance functions ⋮ Aubin's lemma for the Yamabe constants of infinite coverings and a positive mass theorem ⋮ From \(L^p\) bounds to Gromov-Hausdorff convergence of Riemannian manifolds ⋮ Relating notions of convergence in geometric analysis ⋮ The Calabi flow on Kähler surfaces with bounded Sobolev constant. I ⋮ Local volume estimate for manifolds with \(L^2\)-bounded curvature ⋮ Monopole metrics and the orbifold Yamabe problem ⋮ On conformally Kähler, Einstein manifolds ⋮ Gromov-Hausdorff convergence of non-Archimedean fuzzy metric spaces ⋮ A gap theorem for half-conformally flat manifolds ⋮ Curvature and injectivity radius estimates for Einstein 4-manifolds ⋮ The Yamabe invariant

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