R. D. de Lima

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math.DG2024

Rotators-Translators to Mean Curvature Flow in $H^{2} \times R$

Ronaldo F. de Lima, Álvaro K. Ramos, João Paulo dos Santos

We establish the existence of one-parameter families of helicoidal surfaces of $H^{2} \times R$ which, under mean curvature flow, simultaneously rotate about a vertical…

math.DG2023

Solitons to Mean Curvature Flow in the hyperbolic 3-space

R. F. de Lima, A. K. Ramos, J. P. dos Santos

We consider {translators} (i.e., initial condition of translating solitons) to mean curvature flow (MCF) in the hyperbolic $3$ -space $H^{3}$ , providing existence and classifi…

Rotators-Translators to Mean Curvature Flow in H2×R

Solitons to Mean Curvature Flow in the hyperbolic 3-space

Rotators-Translators to Mean Curvature Flow in $H^{2} \times R$