DIAMETER BOUNDS AND HITCHIN-THORPE INEQUALITIES FOR COMPACT RICCI SOLITONS

2009/02/17 by M. Fernandez-Lopez, Montserrat Fernández-López, Eduardo García‐Río +1 · 1 citation
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Numerical methods in engineering #Numerical methods in inverse problems

paper · doi:10.1093/qmath/hap006

crossref issued 2009/02/17 · crossref published 2009/02/17 · crossref published-online 2009/02/17 · openalex publication_date 2009/02/17 · crossref created 2009/02/18 · crossref published-print 2010/09/01 · crossref deposited 2017/08/24 · openalex created_date 2025/10/10 · crossref indexed 2026/07/28 · openalex updated_date 2026/07/28

Abstract

We give lower bounds for the diameter of a compact Ricci soliton depending on the scalar and Ricci curvatures as well as on the range of the potential function, which do not depend on the dimension of the manifold. As an application, sufficient conditions are provided for a four-dimensional compact Ricci soliton to satisfy the Hitchin-Thorpe inequality.

Cited by

• Gradient Shrinking Ricci Solitons and Modified Sectional Curvature

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