A sharp lower bound for the scalar curvature of certain steady gradient\n Ricci solitons

2011/04/11 by Manuel Fernández-López, Fernandez-Lopez, Manuel, Eduardo García‐Río +2
Mathematics · Physics and Astronomy · #53C25 #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1104.1889

openalex publication_date 2011/04/11 · openalex created_date 2022/10/06 · openalex updated_date 2026/07/28

Abstract

We show that the scalar curvature of a steady gradient Ricci soliton\nsatisfying that the ratio between the square norm of the Ricci tensor and the\nsquare of the scalar curvature is bounded by one half, is boundend from below\nby the hyperbolic secant of one half the distance function from a fixed point.\n

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