On the Ricci–Bourguignon flow
Pak Tung Ho
Abstract
In this paper, we study the Ricci–Bourguignon flow of all locally homogenous geometries on closed three-dimensional manifolds. We also consider the evolution of the Yamabe constant under the Ricci–Bourguignon flow. Finally, we prove some results for the Bach-flat shrinking gradient soliton to the Ricci–Bourguignon flow.
Topics & Concepts
MathematicsRicci flowConstant (computer programming)Flow (mathematics)Mathematical analysisPure mathematicsRicci curvatureGeometryComputer scienceCurvatureProgramming languageGeometric Analysis and Curvature FlowsGeometry and complex manifoldsAdvanced Differential Geometry Research