Three Dimensional Homogeneous Hyperbolic Ricci Solitons
Hamed Faraji, Shahroud Azami, Ghodratallah Fasihi-Ramandi
Abstract
Abstract In this paper, we consider the self-similar solutions to the hyperbolic geometric flow, called hyperbolic Ricci solitons. Also, we investigate hyperbolic Ricci solitons on three-dimensional homogeneous manifolds with Riemannian and Lorentzian metrics and obtain some hyperbolic Ricci solitons on such manifolds.
Topics & Concepts
Ricci flowMathematicsHomogeneousMathematical analysisRelatively hyperbolic groupPure mathematicsStable manifoldHyperbolic manifoldHyperbolic equilibrium pointRicci curvatureHyperbolic functionMathematical physicsGeometryCombinatoricsCurvatureGeometric Analysis and Curvature FlowsAdvanced Differential Geometry ResearchGeometry and complex manifolds