Asymptotically conical shrinking ends of the $r$-mean curvature flow: rotational construction and uniqueness

Hilário Alencar, Márcio Batista, Gregório Silva Neto

For $1\le r\le n-1$ we study shrinking self-similar ends of the $r$-mean curvature flow, $S_r=c⟨X,N⟩$ with $c<0$, that are asymptotic to a cone. For every rotational…