46 citations · 460 across the 44 of their papers we have counts for
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Isoperimetric problems for spacelike domains in generalized Robertson-Walker spaces
Ben Lambert, Julian Scheuer
We use a locally constrained mean curvature flow to prove the isoperimetric inequality for spacelike domains in generalized Robertson-Walker spaces satisfying the null convergence…
The Minkowski inequality in de Sitter space
Julian Scheuer
The classical Minkowski inequality in the Euclidean space provides a lower bound on the total mean curvature of a hypersurface in terms of the surface area, which is optimal on rou…
Negatively Curved Three-Manifolds, Hyperbolic Metrics, Isometric Embeddings In Minkowski Space And The Cross Curvature Flow
Paul Bryan, Mohammad N. Ivaki, Julian Scheuer
This short note is a mostly expository article examining negatively curved three-manifolds. We look at some rigidity properties related to isometric embeddings into Minkowski space…
Asymptotic estimates for the Willmore flow with small energy
Ernst Kuwert, Julian Scheuer
Kuwert and Schätzle showed in 2001 that the Willmore flow converges to a standard round sphere, if the initial energy is small. In this situation, we prove stability estimates for…
Li-Yau gradient estimates for curvature flows in positively curved manifolds
Paul Bryan, Heiko Kröner, Julian Scheuer
We prove differential Harnack inequalities for flows of strictly convex hypersurfaces by powers , , of the mean curvature in Einstein manifolds with a positive lower boun…