Abstract. In this paper we will discuss how one may be able to use mean curvature flow to tackle some of the central problems in topology in 4-dimensions. We will be concerned with smooth closed 4-manifolds that can be smoothly embedded as a hypersurface in R5. We begin with explaining why all closed smooth homotopy spheres can be smoothly embedded. After that we discuss what happens to such a hypersurface under the mean curvature flow. If the hypersurface is in general or generic position before the flow starts, then we explain what singularities can occur under the flow and also why it can be assumed to be in generic position. The mean curvature flow is the negative gradient flow of volume, so any hypersurface flows through hypersurfaces ...
This dissertation concerns the Inverse Mean Curvature Flow of closed hypersurfaces in Euclidean Spac...
This dissertation concerns the Inverse Mean Curvature Flow of closed hypersurfaces in Euclidean Spac...
We show that the mean curvature flow of generic closed surfaces in $\mathbb{R}^{3}$ avoids asymptoti...
The mean curvature flow arises material science and condensed matter physics and has been recently s...
"Mean curvature flow" is a term that is used to describe the evolution of a hypersurface whose norma...
We show that the mean curvature flow of generic closed surfaces in R3 avoids asymptotically conical ...
Mean curvature flows of hypersurfaces have been extensively stud-ied and there are various different...
We consider a closed smooth hypersurface immersed in euclidean space evolving by mean curvature flow...
We consider a closed smooth hypersurface immersed in euclidean space evolving by mean curvature flow...
We consider a closed smooth hypersurface immersed in euclidean space evolving by mean curvature flow...
We consider a closed smooth hypersurface immersed in euclidean space evolving by mean curvature flow...
We study graphical mean curvature flow of complete solutions defined on subsets of Euclidean space. ...
Abstract. In the last 15 years, White and Huisken-Sinestrari developed a far-reaching structure theo...
Abstract. We study graphical mean curvature flow of complete solutions de-fined on subsets of Euclid...
Abstract. We study graphical mean curvature flow of complete solutions de-fined on subsets of Euclid...
This dissertation concerns the Inverse Mean Curvature Flow of closed hypersurfaces in Euclidean Spac...
This dissertation concerns the Inverse Mean Curvature Flow of closed hypersurfaces in Euclidean Spac...
We show that the mean curvature flow of generic closed surfaces in $\mathbb{R}^{3}$ avoids asymptoti...
The mean curvature flow arises material science and condensed matter physics and has been recently s...
"Mean curvature flow" is a term that is used to describe the evolution of a hypersurface whose norma...
We show that the mean curvature flow of generic closed surfaces in R3 avoids asymptotically conical ...
Mean curvature flows of hypersurfaces have been extensively stud-ied and there are various different...
We consider a closed smooth hypersurface immersed in euclidean space evolving by mean curvature flow...
We consider a closed smooth hypersurface immersed in euclidean space evolving by mean curvature flow...
We consider a closed smooth hypersurface immersed in euclidean space evolving by mean curvature flow...
We consider a closed smooth hypersurface immersed in euclidean space evolving by mean curvature flow...
We study graphical mean curvature flow of complete solutions defined on subsets of Euclidean space. ...
Abstract. In the last 15 years, White and Huisken-Sinestrari developed a far-reaching structure theo...
Abstract. We study graphical mean curvature flow of complete solutions de-fined on subsets of Euclid...
Abstract. We study graphical mean curvature flow of complete solutions de-fined on subsets of Euclid...
This dissertation concerns the Inverse Mean Curvature Flow of closed hypersurfaces in Euclidean Spac...
This dissertation concerns the Inverse Mean Curvature Flow of closed hypersurfaces in Euclidean Spac...
We show that the mean curvature flow of generic closed surfaces in $\mathbb{R}^{3}$ avoids asymptoti...