Gauge Fixing for Logarithmic Connections Over Curves and the Riemann-Hilbert Problem

Let be a compact Riemann surface of genus g, X={x₁, ..., x_n} a finite set of points, and ¹(log X) be the sheaf of 1-forms,holomorphic over \X and generated near x_j by dz_j/z_j for a coordinatez_j centred at x_j.     

Einige Versuche mit Silicium als Reduktionsmittel in der organischen Chemie

Ohne Zusammenfassung     

Some Isoperimetric Inequalities in Electrochemistry and Hele Shaw Flows

Isoperimetric inequalities are applied to a moving-boundaryproblem for doubly-connected domains. This problem occurs forexample in electrochemistry, in which case the domains in questionare the electrolyte of an electrolytic cell. The two electrodessurrounding the electrolyte are assumed to grow or dissolve,at different rates in general, by electrochemical reaction.We obtain optimal estimates showing, for example, that the leastchange in volume of each electrode always occurs in sphericalsymmetry.     

Electron-energy bands in single-crystalline La-intercalated graphite

A graphite-intercalation compound (GIC) of La was prepared by a thermally induced surface reaction of a metallic La film on a graphite (0001) substrate. The LEED pattern shows a characteristic (√3 × √3) R30° reconstruction pointing to the formation of LaC₆. Angleresolved photoemission combined with Fermi-surfaces mapping reveals a strongly anisotropic electronic bandstructure of La-GIC. The unfolded π-symmetry graphitederived bands in the La intercalation compound may be described in good approximation within a simple rigidband model by charge transfer from La to graphite. Despite the presence of filled La-5d states large photoemission intensities close to the Fermi level around the K-points of the nonreconstructed Brillouin zone are related to carbon-derived p_π*-bands, which become partly occupied in the GIC.