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Special Monodromy Groups and the Riemann-Hilbert Problem for the Riemann Equation

✍ Scribed by V. A. Poberezhnyi


Publisher
SP MAIK Nauka/Interperiodica
Year
2005
Tongue
English
Weight
177 KB
Volume
77
Category
Article
ISSN
0001-4346

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The Ernst equation and the Riemann-Hilbe
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We discuss a class of solutions to the Ernst equation (the stationary axisymmetric Einstein equations) obtained as solutions of a generalized scalar Riemann-Hilbert problem on a hyperelliptic Riemann surface. The singular structure of these solutions is studied for arbitrary genus of the Riemann sur