On the rotational symmetry of 3-dimensional κ-solutions
Richard H. Bamler, Bruce Kleiner
Abstract
Abstract In a recent paper, Brendle showed the uniqueness of the Bryant soliton among 3-dimensional κ-solutions. In this paper, we present an alternative proof for this fact and show that compact κ-solutions are rotationally symmetric. Our proof arose from independent work relating to our Strong Stability Theorem for singular Ricci flows.
Topics & Concepts
UniquenessSymmetry (geometry)MathematicsWork (physics)Rotational symmetryStability (learning theory)Pure mathematicsMathematical analysisPhysicsComputer scienceGeometryQuantum mechanicsMachine learningGeometric Analysis and Curvature FlowsGeometry and complex manifoldsNavier-Stokes equation solutions