21 citations · 88 across the 16 of their papers we have counts for
16 papers
Foliation of null cones by surfaces of constant spacetime mean curvature near MOTS
Ben Lambert, Julian Scheuer
Marginally Outer Trapped Surfaces (MOTS) in spacetimes are well-known to indicate the existence of black holes. Using flow techniques, we prove that a neighbourhood of a stable MOT…
A capillary problem for spacelike mean curvature flow in a cone of Minkowski space
Wilhelm Klingenberg, Ben Lambert, Julian Scheuer
Consider a convex cone in three-dimensional Minkowski space which either contains the lightcone or is contained in it. This work considers mean curvature flow of a proper spacelike…
Nonlocal estimates for the Volume Preserving Mean Curvature Flow and applications
Ben Lambert, Elena Mäder-Baumdicker
We obtain estimates on nonlocal quantities appearing in the Volume Preserving Mean Curvature Flow (VPMCF) in the closed, Euclidean setting. As a result we demonstrate that blowups…
A note on Alexandrov immersed mean curvature flow
Ben Lambert, Elena Mäder-Baumdicker
We demonstrate that the property of being Alexandrov immersed is preserved along mean curvature flow. Furthermore, we demonstrate that mean curvature flow techniques for mean conve…
Weyl estimates for spacelike hypersurfaces in de Sitter space
Daniel Ballesteros-Chavez, Wilhelm Klingenberg, Ben Lambert
We study the isometric spacelike embedding problem in scaled de Sitter space, and obtain Weyl-type estimates and the corresponding closedness in the space of embeddings.
Lagrangian mean curvature flow with boundary
Christopher G. Evans, Ben Lambert, Albert Wood
We introduce Lagrangian mean curvature flow with boundary in Calabi--Yau manifolds by defining a natural mixed Dirichlet-Neumann boundary condition, and prove that under this flow,…