8 citations · 19 across the 10 of their papers we have counts for
8 papers · 1 filter
Closed hypersurfaces of prescribed mean curvature in locally conformally flat Riemannian manifolds
Claus Gerhardt
We prove the existence of smooth closed hypersurfaces of prescribed mean curvature homeomorphic to for small , provided there are barriers.
Hypersurfaces of prescribed mean curvature in Lorentzian manifolds
Claus Gerhardt
We give a new existence proof for closed hypersurfaces of prescribed mean curvature in Lorentzian manifolds.
Hypersurfaces of prescribed curvature in Lorentzian manifolds
Claus Gerhardt
The existence of closed hypersurfaces of prescribed curvature in globally hyperbolic Lorentzian manifolds is proved provided there are barriers.
On the CMC foliation of future ends of a spacetime
Claus Gerhardt
We consider spacetimes with compact Cauchy hypersurfaces and with Ricci tensor bounded from below on the set of timelike unit vectors, and prove that the results known for spacetim…
The inverse mean curvature flow in ARW spaces--transition from big crunch to big bang
Claus Gerhardt
We consider spacetimes satisfying some structural conditions, which are still fairly general, and prove convergence results for the leaves of an inverse mean curvature flow. Mo…
On the foliation of space-time by constant mean curvature hypersurfaces
Claus Gerhardt
We prove that the mean curvature of the slices given by a constant mean curvature foliation can be used as a time function, i.e. is smooth with non-vanishing gradient.