Generalized Yamabe Flows
Copyright policy )Generalized Yamabe Flows
Abstract In this work we introduce a family of conformal flows generalizing the classical Yamabe flow. We prove that for a large class of such flows long-time existence holds, and the arguments are in fact simpler than in the classical case. Moreover, we establish convergence for the case of negative scalar curvature and expect a similar statement for the positive and the flat cases as well.
- Carl von Ossietzky University of Oldenburg Germany
- University of Hannover Germany
- Federal University of São Carlos Brazil
long-time existence, Differential Geometry (math.DG), Ricci flows, conformal flows, Yamabe flow, negative scalar curvature, FOS: Mathematics, 53C18, 58J35, 35K55, Heat and other parabolic equation methods for PDEs on manifolds, Heat kernel, Differential Geometry
long-time existence, Differential Geometry (math.DG), Ricci flows, conformal flows, Yamabe flow, negative scalar curvature, FOS: Mathematics, 53C18, 58J35, 35K55, Heat and other parabolic equation methods for PDEs on manifolds, Heat kernel, Differential Geometry
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