Higher dimensional steady Ricci solitons with linear curvature decay
Yuxing Deng, Xiaohua Zhu
Abstract
We prove that any noncompact \kappa -noncollapsed steady (gradient) Ricci soliton with nonnegative curvature operator must be rotationally symmetric if it has linear curvature decay.
Topics & Concepts
MathematicsCurvatureMathematical analysisRicci curvatureMathematical physicsGeometryGeometric Analysis and Curvature FlowsGeometry and complex manifoldsAdvanced Differential Geometry Research