Normalized mean curvature flows in gradient shrinking extended Ricci soliton backgrounds converge, under type-I and bounded-geometry hypotheses, to f-minimal hypersurfaces in the Cheeger-Gromov sense.
Huisken, Asymptotic behavior for singularities of the mean curvature flow, J
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A note on Huisken monotonicity-type formula for the mean curvature flow in a gradient shrinking extended Ricci soliton background
Normalized mean curvature flows in gradient shrinking extended Ricci soliton backgrounds converge, under type-I and bounded-geometry hypotheses, to f-minimal hypersurfaces in the Cheeger-Gromov sense.