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math.DG2026
Mean curvature flow of graphs with asymptotic Dirichlet conditions in Cartan-Hadamard manifolds
Claudia Fernandes, Jorge de Lira, Matheus Soares
A priori estimates for the mean curvature evolution of Killing graphs in Cartan-Hadamard manifolds with asymptotic Dirichlet conditions are established. As an application, the exis…
math.DG2026
Modified mean curvature flow of graphs in Riemannian manifolds
Jocel Faustino Norberto de Oliveira, Jorge Herbert Soares de Lira, Matheus Nunes Soares
We obtain height, gradient, and curvature a priori estimates for a modified mean curvature flow in Riemannian manifolds endowed with a Killing vector field. As a consequence, we pr…
math.DG2018
Translating solitons in Riemannian products
Jorge H. de Lira, Francisco Martin
In this paper we study solitons invariant with respect to the flow generated by a complete Killing vector field in a ambient Riemannian manifold. A special case occurs when the amb…