Remark about scalar curvature and Riemannian submersions

DOI10.1090/S0002-9939-07-08852-1zbMath1141.53029arXivmath/0504421OpenAlexW2009930014WikidataQ115290125 ScholiaQ115290125MaRDI QIDQ5295122

John Lott

Publication date: 27 July 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0504421

zbMATH Keywords

scalar curvatureRiemannian submersioncurvature boundsmodified scalar curvatureO'Neill's theorem

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

Related Items

Spectral convergence under bounded Ricci curvature ⋮ Optimal transport and Perelman's reduced volume ⋮ Convergence of the weighted Yamabe flow ⋮ The weighted \(\sigma_k\)-curvature of a smooth metric measure space ⋮ Gradient estimates for a nonlinear parabolic equation and Liouville theorems ⋮ Rigidity results of weighted area-minimizing hypersurfaces ⋮ SMOOTH METRIC MEASURE SPACES AND QUASI-EINSTEIN METRICS ⋮ Eigenvalues and lambda constants on Riemannian submersions ⋮ The energy of a smooth metric measure space and applications ⋮ Sectional curvature for Riemannian manifolds with density

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