Results 1 to 10 of about 42 (27)

Conformal solitons for the mean curvature flow in hyperbolic space [PDF]

, 2023
In this paper we study conformal solitons for the mean curvature flow in hyperbolic space $\mathbb{H}^{n+1}$. Working in the upper half-space model, we focus on horo-expanders, which relate to the conformal field $-\partial_0$.
de Oliveira, Jose Danuso Rocha, de Sena, Renivaldo Sodre, Mari, Luciano, Savas-Halilaj, Andreas   +3 more
core   +2 more sources

Self-expanders of the mean curvature flow [PDF]

, 2020
We study self-expanding solutions $M^m\subset\mathbb{R}^{n}$ of the mean curvature flow. One of our main results is, that complete mean convex self-expanding hypersurfaces are products of self-expanding curves and flat subspaces, if and only if the ...
Smoczyk, Knut
core   +3 more sources

Rigidity results and topology at infinity of translating solitons of the mean curvature flow [PDF]

, 2016
In this paper we obtain rigidity results and obstructions on the topology at infinity of translating solitons of the mean curvature flow in the Euclidean space. Our approach relies on the theory of f-minimal hypersurfaces.Comment: 18 pages.
Impera, Debora, Rimoldi, Michele
core   +1 more source

Analysis, Geometry and Topology of Positive Scalar Curvature Metrics [PDF]

, 2014
One of the fundamental problems in Riemannian geometry is to understand the relation of locally defined curvature invariants and global properties of smooth manifolds.

core   +2 more sources

Annuloids and $\Delta$-wings

, 2023
In this paper, we describe new annular examples of complete translating solitons for the mean curvature flow and how they are related to a family of translating graphs, the $\Delta$-wings.
Hoffman, D., Martin, F., White, B.
core  

Translating Annuli for Mean Curvature Flow

, 2023
We construct a family $\mathcal{A}$ of complete, properly embedded, annular translators $M$ such that $M$ lies in a slab and is invariant under reflections in the vertical coordinate planes.
Hoffman, David, Martín, Francisco, White, Brian   +2 more
core  

Elastic Curves with Variable Bending Stiffness

We study stationary points of the bending energy of curves $\gamma\colon[a,b]\to\mathbb{R}^n$ subject to constraints on the arc-length and total torsion while simultaneously allowing for a variable bending stiffness along the arc-length of the curve ...
Gross, Oliver, Pinkall, Ulrich, Wahl, Moritz   +2 more
core  

A duality theorem for Willmore surfaces

Journal of Differential Geometry, 1984
Robert L Bryant
exaly  

Isoparametric submanifolds and their Coxeter groups

Journal of Differential Geometry, 1985
Chuu-Lian Terng
exaly  

New minimal surfaces in $S^3$

Journal of Differential Geometry, 1988
U Pinkall
exaly