An upper diameter bound for compact Ricci solitons with application to the Hitchin–Thorpe inequality

DOI10.1063/1.4974293zbMath1359.53038arXiv1504.05577OpenAlexW803831024MaRDI QIDQ2968449

Homare Tadano

Publication date: 13 March 2017

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.05577

zbMATH Keywords

Hitchin-Thorpe inequalityrange of the potential functionrange of the scalar curvature

Mathematics Subject Classification ID

Related Items (12)

Myers' type theorem with the Bakry-Émery Ricci tensor ⋮ Some Ambrose- and Galloway-type theorems via Bakry-Émery and modified Ricci curvatures ⋮ Improved oscillation estimates and the Hitchin–Thorpe inequality on compact Ricci solitons ⋮ Some Cheeger-Gromov-Taylor type compactness theorems via \(m\)-Bakry-Émery and \(m\)-modified Ricci curvatures ⋮ An upper diameter bound for compact Ricci solitons with application to the Hitchin–Thorpe inequality. II ⋮ Remark on a lower diameter bound for compact shrinking Ricci solitons ⋮ Some compactness theorems via \(m\)-Bakry-Émery and \(m\)-modified Ricci curvatures with negative \(m\) ⋮ Sharp upper diameter bounds for compact shrinking Ricci solitons ⋮ Myers' type theorem for integral Bakry-Émery Ricci tensor bounds ⋮ Boju–Funar type theorems via m-Bakry–Émery and m-modified Ricci curvatures ⋮ \(m\)-Bakry-Émery Ricci curvatures, Riccati inequalities, and bounded diameters ⋮ Extensions of Bonnet-Myers-type theorems with the Bakry-Emery Ricci curvature

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