An infinite version of the prescribed curvature flow is shown to converge under side conditions, yielding generalized circle packings and smooth infinite-type hyperbolic surfaces with prescribed total geodesic curvature.
Manifolds with positive curvature operators are space forms.Ann
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A prescribed curvature flow on hyperbolic surfaces with infinite topological type
An infinite version of the prescribed curvature flow is shown to converge under side conditions, yielding generalized circle packings and smooth infinite-type hyperbolic surfaces with prescribed total geodesic curvature.