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- Claus Gerhardt
- 2002

The existence of closed hypersurfaces of prescribed curvature in semi-riemannian manifolds is proved provided there are barriers.

- Claus Gerhardt
- 2003

The existence of closed hypersurfaces of prescribed scalar curvature in globally hyperbolic Lorentzian manifolds is proved provided there are barriers. 0. Introduction Consider the problem of finding a closed hypersurface of prescribed curvature F in a globally hyperbolic (n+1)-dimensional Lorentzian manifold N having a compact Cauchy hypersurface S0. To be… (More)

- Claus Gerhardt
- 2004

The existence of closed hypersurfaces of prescribed curvature in globally hyperbolic Lorentzian manifolds is proved provided there are barriers.

We prove the existence of smooth closed hypersurfaces of prescribed mean curvature homeomorphic to S for small n, n ≤ 6, provided there are barriers. 0. Introduction In a complete (n+1)-dimensional manifold N we want to find closed hypersurfaces M of prescribed mean curvature. To be more precise, let Ω be a connected open subset of N , f ∈ C(Ω̄), then we… (More)

- Claus Gerhardt
- 2008

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 spacetimes satisfying the timelike convergence condition, namely, foliation by CMC hypersurfaces, are also valid in the present situation, if corresponding further assumptions are… (More)

- Claus Gerhardt
- 2004

We prove that the leaves of an inverse mean curvature flow provide a foliation of a future end of a cosmological spacetime N under the necessary and sufficent assumptions that N satisfies a future mean curvature barrier condition and a strong volume decay condition. Moreover, the flow parameter t can be used to define a new physically important time… (More)

- Claus Gerhardt
- 2004

We give a new existence proof for closed hypersurfaces of prescribed mean curvature in Lorentzian manifolds.

- Claus Gerhardt
- 2004

We consider spacetimes N satisfying some structural conditions, which are still fairly general, and prove convergence results for the leaves of an inverse mean curvature flow. Moreover, we define a new spacetime N̂ by switching the light cone and using reflection to define a new time function, such that the two spacetimes N and N̂ can be pasted together to… (More)

- Imtraut Koop, Herbert Koop, Claus Gerhardt, Anton Schafmayer, Robert Arnold
- Scandinavian journal of gastroenterology
- 1989

The influence of intraduodenal bile deficiency due to chronic bile duct obstruction and acute exogenous administration of bile acids on plasma cholecystokinin (CCK) and pancreatic polypeptide (PP) was investigated. Fourteen patients with tumor-induced bile duct stenosis and five healthy volunteers were given a liquid test meal. Four of the patients had a… (More)

- Helmut Bräunlich, Susanne Rössler, Claus Gerhardt
- Developmental pharmacology and therapeutics
- 1993

After simultaneous administration of dexamethasone together with 6-hydroxydopamine or adrenergic neuronal blocking agents (alpha-methyldopa, reserpine, guanethidine) the dexamethasone-stimulated increase in renal excretion of p-aminohippurate (PAH) is distinctly diminished. The same is true for dopamine. This depressive effect could be proved by measurement… (More)