9 citations · 21 across the 20 of their papers we have counts for
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Asymptotically conical shrinking ends of the -mean curvature flow: rotational construction and uniqueness
Hilário Alencar, Márcio Batista, Gregório Silva Neto
For we study shrinking self-similar ends of the -mean curvature flow, with , that are asymptotic to a cone. For every rotational…
An Abresch-Rosenberg type tensor and a gap theorem for CMC hypersurfaces in and
Hilário Alencar, Márcio Batista, Harold Rosenberg
We construct a symmetric trace-free tensor for constant-mean-curvature hypersurfaces in and that extends the Abresch-R…
Spheres under a Cauchy-Riemann inequality in , and non-CMC Hopf tori
Hilário Alencar, Harold Rosenberg
For a smooth, connected, oriented surface , topologically a sphere, immersed in the homogeneous space with , we show that a one-sided Cauchy--Riemann-type inequa…
Half-space theorems for translating solitons of the r-mean curvature flow
Hilário Alencar, G. Pacelli Bessa, Gregório Silva Neto
In this paper, we establish nonexistence results for complete translating solitons of the r-mean curvature flow under suitable growth conditions on the (r-1)-mean curvature and on…