63 citations · 131 across the 18 of their papers we have counts for
23 papers
Codimension two mean curvature flow of entire graphs
Andreas Savas-Halilaj, Knut Smoczyk
We consider the graphical mean curvature flow of maps , , and derive estimates on the growth rates of the evolved graphs, based on a ne…
Graphical mean curvature flow with bounded bi-Ricci curvature
Renan Assimos, Andreas Savas-Halilaj, Knut Smoczyk
We consider the graphical mean curvature flow of strictly area decreasing maps , where is a compact Riemannian manifold of dimension and a complete Riemanni…
Self-expanders of the mean curvature flow
Knut Smoczyk
We study self-expanding solutions of the mean curvature flow. One of our main results is, that complete mean convex self-expanding hypersurfaces are prod…
Lagrangian mean curvature flow of Whitney spheres
Andreas Savas-Halilaj, Knut Smoczyk
It is shown that an equivariant Lagrangian sphere with a positivity condition on its Ricci curvature develops a type-II singularity under the Lagrangian mean curvature flow that re…
Local non-collapsing of volume for the Lagrangian mean curvature flow
Knut Smoczyk
We prove an optimal control on the time-dependent measure of a measurable set under a reparametrized Lagrangian mean curvature flow of almost calibrated submanifolds in a Calabi-Ya…
Generalized Lagrangian mean curvature flows: the cotangent bundle case
Knut Smoczyk, Mao-Pei Tsui, Mu-Tao Wang
In [SW2], we defined a generalized mean curvature vector field on any almost Lagrangian submanifold with respect to a torsion connection on an almost Kähler manifold. The short tim…