Add to ORKGWe prove a rigidity result for mean curvature self-translating solitons, characterizing the grim reaper cylinder as the only finite entropy self-translating 2-surface in $\mathbb{R}^3$ of width $\pi$ and bounded from below. The proof makes use of parabolicity in a weighted setting applied to a suitable universally $L$-superharmonic function defined on translaters in such slabs.Comment: Expanded introduction. New result added (Theorem 1.6). All comments are welcome
In this note, we consider the entropy of unit area translation surfaces in the $SL(2, \mathbb R)$ or...
AbstractIn this paper, we study the existence, uniqueness and asymptotic behavior of rotationally sy...
We show that the mean curvature flow of generic closed surfaces in $\mathbb{R}^{3}$ avoids asymptoti...
We prove a rigidity result for mean curvature self-translating solitons, characterizing the grim rea...
In this paper, we study the rigidity results of complete graphical translating hypersurfaces when th...
In this paper, we obtain rigidity results and obstructions on the topology at infinity of translati...
In the first chapter of this thesis, after a brief introduction to the mean curvature ow and tran...
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 2016.Cataloged fro...
In this paper, we describe new annular examples of complete translating solitons for the mean curvat...
Abstract. We construct new examples of self-translating surfaces for the mean curvature flow from a ...
In this paper, we consider translators (for the mean curvature flow) given by a graph of a function ...
The second author was partially supported by the MCIN/AEI grant no. PID2020-116126-I00 and by the Re...
We study translating soliton solutions to the flow by powers of the curvature of curves in the plane...
We provide a new construction of Lagrangian surfaces in C2 in terms of two planar curves. When we t...
We construct smooth mean curvature flows with surgery that approximate weak mean curvature flows wit...
In this note, we consider the entropy of unit area translation surfaces in the $SL(2, \mathbb R)$ or...
AbstractIn this paper, we study the existence, uniqueness and asymptotic behavior of rotationally sy...
We show that the mean curvature flow of generic closed surfaces in $\mathbb{R}^{3}$ avoids asymptoti...
We prove a rigidity result for mean curvature self-translating solitons, characterizing the grim rea...
In this paper, we study the rigidity results of complete graphical translating hypersurfaces when th...
In this paper, we obtain rigidity results and obstructions on the topology at infinity of translati...
In the first chapter of this thesis, after a brief introduction to the mean curvature ow and tran...
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 2016.Cataloged fro...
In this paper, we describe new annular examples of complete translating solitons for the mean curvat...
Abstract. We construct new examples of self-translating surfaces for the mean curvature flow from a ...
In this paper, we consider translators (for the mean curvature flow) given by a graph of a function ...
The second author was partially supported by the MCIN/AEI grant no. PID2020-116126-I00 and by the Re...
We study translating soliton solutions to the flow by powers of the curvature of curves in the plane...
We provide a new construction of Lagrangian surfaces in C2 in terms of two planar curves. When we t...
We construct smooth mean curvature flows with surgery that approximate weak mean curvature flows wit...
In this note, we consider the entropy of unit area translation surfaces in the $SL(2, \mathbb R)$ or...
AbstractIn this paper, we study the existence, uniqueness and asymptotic behavior of rotationally sy...
We show that the mean curvature flow of generic closed surfaces in $\mathbb{R}^{3}$ avoids asymptoti...