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On the Riemann–Hilbert Problem in Dimension 4

✍ Scribed by A. I. Gladyshev


Book ID
110275656
Publisher
Springer
Year
2000
Tongue
English
Weight
323 KB
Volume
6
Category
Article
ISSN
0925-4668

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The Ernst equation and the Riemann-Hilbe
✍ C. Klein; O. Richter 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 405 KB

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