D. A. Korotkin, V. B. Matveev, “Theta Function Solutions of the Schlesinger System and the Ernst Equation”, Funktsional. Anal. i Prilozhen., 2000, Volume 34, Issue 4,Pages <nobr>18

This article is cited in 18 papers

Theta Function Solutions of the Schlesinger System and the Ernst Equation

D. A. Korotkin^a, V. B. Matveev^b

^a Concordia University, Department of Mathematics and Statistics
^b St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences

Abstract: We establish a link between the Schlesinger system and the Ernst equation (the stationary axisymmetric Einstein equation) on the level of algebro-geometric solutions. We calculate all metric coefficients corresponding to general algebro-geometric solutions of the Ernst equation.

UDC: 517.9

Received: 26.04.1999

DOI: 10.4213/faa323