Integral pinching theorems
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Publication:1971685
DOI10.1007/s002290050009zbMath0970.53022OpenAlexW2030871220WikidataQ126020856 ScholiaQ126020856MaRDI QIDQ1971685
Guofang Wei, Xianzhe Dai, Peter V Petersen
Publication date: 21 October 2001
Published in: Manuscripta Mathematica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s002290050009
diameterpositive sectional curvaturepinchinginfra-nilmanifoldintegral curvatureHamilton's Ricci flow
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A Concentration-Collapse Decomposition forL2Flow Singularities ⋮ Convergence of the Ricci flow on asymptotically flat manifolds with integral curvature pinching ⋮ Geometric and spectral estimates based on spectral Ricci curvature assumptions ⋮ Gradient estimates of positive solutions for the weighted nonlinear parabolic equation ⋮ Comparison geometry for integral radial Bakry-Émery Ricci tensor bounds ⋮ Comparison geometry for integral Bakry-Émery Ricci tensor bounds ⋮ Bounds on the fundamental groups with integral curvature bound ⋮ Myers' type theorem for integral Bakry-Émery Ricci tensor bounds ⋮ Stability of metric measure spaces with integral Ricci curvature bounds ⋮ Local Sobolev constant estimate for integral Bakry-Émery Ricci curvature ⋮ Chiti-type reverse Hölder inequality and torsional rigidity under integral Ricci curvature condition
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