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math-ph2004
Ernst equation, Fay identities and variational formulas on hyperelliptic curves
C. Klein, D. Korotkin, V. Shramchenko
We present a unified approach to theta-functional solutions of the stationary axisymmetric Einstein equations in vacuum. Using Fay's trisecant identity and variational formulas on…
math-ph2001
A new hierarchy of integrable systems associated to Hurwitz spaces
A. Kokotov, D. Korotkin
In this paper we introduce a new class of integrable systems, naturally associated to Hurwitz spaces (spaces of meromorphic functions over Riemann surfaces). The critical values of…