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Nonlinear Dirac equations on Riemann surfaces

✍ Scribed by Qun Chen; Jürgen Jost; Guofang Wang


Publisher
Springer
Year
2007
Tongue
English
Weight
230 KB
Volume
33
Category
Article
ISSN
0232-704X

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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