Claus Gerhardt

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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)
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)
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)
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)
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)