Diameter pinching in almost positive Ricci curvature

DOI10.4171/CMH/160zbMath1167.53033OpenAlexW2030847752WikidataQ125363387 ScholiaQ125363387MaRDI QIDQ1012467

Erwann Aubry

Publication date: 21 April 2009

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: http://www.ems-ph.org/journals/show_pdf.php?issn=0010-2571&vol=84&iss=2&rank=1

zbMATH Keywords

Ricci curvaturecomparison theoremssphere theoremsintegral bounds on the curvature

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

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Pinching of the first eigenvalue of the Laplacian and almost-Einstein hypersurfaces of the Euclidean space ⋮ Eigenvalue pinching and application to the stability and the almost umbilicity of hypersurfaces ⋮ Pinching of the first eigenvalue for second order operators on hypersurfaces of the Euclidean space ⋮ Chiti-type reverse Hölder inequality and torsional rigidity under integral Ricci curvature condition ⋮ QUANTITATIVE OSCILLATION ESTIMATES FOR ALMOST-UMBILICAL CLOSED HYPERSURFACES IN EUCLIDEAN SPACE

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