Mixed sectional-Ricci curvature obstructions on tori

DOI10.1142/S1793525319500626zbMath1457.53020arXiv1707.07876OpenAlexW2963508397WikidataQ125275105 ScholiaQ125275105MaRDI QIDQ5117602

Stéphane Sabourau, Benoît R. Kloeckner

Publication date: 26 August 2020

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.07876

zbMATH Keywords

Ricci curvaturesectional curvaturestable normbounded distance theoremcurvature obstructionsroot-Ricci curvature

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Uses Software

• MathOverflow

Cites Work

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• A quantitative bounded distance theorem and a Margulis' lemma for \(\mathbb{Z}^n\)-actions, with applications to homology
• Metrics of negative Ricci curvature
• Curvature \(h\)-principles
• A refinement of Günther's candle inequality
• A note on curvature and fundamental group