pith. sign in

arxiv: 1612.05713 · v1 · pith:7Y7FST2Cnew · submitted 2016-12-17 · 🧮 math.DG

3d steady Gradient Ricci Solitons with linear curvature decay

classification 🧮 math.DG
keywords curvaturefracriccisolitonsteadyassumeconstantdecay
0
0 comments X
read the original abstract

In this note, we prove that a 3-dimensional steady Ricci soliton is rotationally symmetric if its scalar curvature $R(x)$ satisfies $$\frac{C_0^{-1}}{\rho(x)}\le R(x)\le \frac{C_0}{\rho(x)}$$ for some constant $C_0>0$, where $\rho(x)$ denotes the distance from a fixed point $x_0$. Our result doesn't assume that the soliton is $\kappa$-noncollapsed.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.