Notes on scalar curvature lower bounds of steady gradient Ricci solitons

2024/09/01 by Hamanaka, Shota
#53A10 #53C20 #53E20 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2409.00583

Abstract

We provide new type of decay estimate for scalar curvatures of steady gradient Ricci solitons. We also give certain upper bound for the diameter of a Riemannian manifold whose ∞-Bakry--Emery Ricci tensor is bounded by some positive constant from below. For the proofs, we use μ-bubbles introduced by Gromov.

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