2024/12/03 by Lye, Jørgen Olsen, Vertman, Boris, Vitti, Mannaim Gennaro
#35K55 #53C18 #58J35 #Differential Geometry (math.DG) #FOS: Mathematics
paper · doi:10.48550/arxiv.2412.02593
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.