DIAMETER BOUNDS AND HITCHIN-THORPE INEQUALITIES FOR COMPACT RICCI SOLITONS

DOI10.1093/qmath/hap006zbMath1198.53035OpenAlexW2038169870MaRDI QIDQ3588948

Eduardo García-Río, Manuel Fernández-López

Publication date: 10 September 2010

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/qmath/hap006

zbMATH Keywords

Hitchin-Thorpe inequalityscalar curvaturesRicci curvaturescompact Ricci soliton

Mathematics Subject Classification ID

Soliton equations (35Q51) Global Riemannian geometry, including pinching (53C20)

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On Euler characteristic and Hitchin-Thorpe inequality for four-dimensional compact Ricci solitons ⋮ Diameter estimation of gradient \(\rho \)-Einstein solitons ⋮ SOME GAP THEOREMS FOR GRADIENT RICCI SOLITONS ⋮ Improved oscillation estimates and the Hitchin–Thorpe inequality on compact Ricci solitons ⋮ Remark on a diameter bound for complete Riemannian manifolds with positive Bakry-Émery Ricci curvature ⋮ Rigidity results for shrinking and expanding Ricci solitons ⋮ Aspects of mean curvature flow solitons in warped products ⋮ An upper diameter bound for compact Ricci solitons with application to the Hitchin–Thorpe inequality ⋮ A note on locally conformally flat gradient Ricci solitons ⋮ Remark on a lower diameter bound for compact shrinking Ricci solitons ⋮ Sharp upper diameter bounds for compact shrinking Ricci solitons

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