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math.DG2024
Gap theorems for complete self-shrinkers of -mean curvature flows
Hilário Alencar, G. Pacelli Bessa, Gregório Silva Neto
In this paper, we prove gap results for complete self-shrinkers of the -mean curvature flow involving a modified second fundamental form. These results extend previous results f…
math.DG2024
On -invariant constant mean curvature hypersurfaces with singularity
Hilário Alencar, Ronaldo Garcia, Gregório Silva Neto
We classify the -invariant constant mean curvature hypersurfaces with singularity at the origin, solving a conjecture of Wu-yi Hsiang.