Yamabe flow with prescribed scalar curvature
Copyright policy )Yamabe flow with prescribed scalar curvature
In this work, we study the Yamabe flow corresponding to the prescribed scalar curvature problem on compact Riemannian manifolds with negative scalar curvature. The long time existence and convergence of the flow are proved under appropriate conditions on the prescribed scalar curvature function.
Mathematics - Differential Geometry, asymptotic behaviour, Heat and other parabolic equation methods for PDEs on manifolds, conformal metric, Differential Geometry (math.DG), 35K55, 58J35, 53A30, Yamabe flow, FOS: Mathematics, Nonlinear parabolic equations, prescribed scalar curvature, long time existence, Conformal differential geometry
Mathematics - Differential Geometry, asymptotic behaviour, Heat and other parabolic equation methods for PDEs on manifolds, conformal metric, Differential Geometry (math.DG), 35K55, 58J35, 53A30, Yamabe flow, FOS: Mathematics, Nonlinear parabolic equations, prescribed scalar curvature, long time existence, Conformal differential geometry
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