Funkcionalʹnyj analiz i ego priloženiâ, Tome 34 (2000) no. 4, pp. 18-34
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D. A. Korotkin; V. B. Matveev. Theta Function Solutions of the Schlesinger System and the Ernst Equation. Funkcionalʹnyj analiz i ego priloženiâ, Tome 34 (2000) no. 4, pp. 18-34. http://geodesic.mathdoc.fr/item/FAA_2000_34_4_a1/
@article{FAA_2000_34_4_a1,
author = {D. A. Korotkin and V. B. Matveev},
title = {Theta {Function} {Solutions} of the {Schlesinger} {System} and the {Ernst} {Equation}},
journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
pages = {18--34},
year = {2000},
volume = {34},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FAA_2000_34_4_a1/}
}
TY - JOUR
AU - D. A. Korotkin
AU - V. B. Matveev
TI - Theta Function Solutions of the Schlesinger System and the Ernst Equation
JO - Funkcionalʹnyj analiz i ego priloženiâ
PY - 2000
SP - 18
EP - 34
VL - 34
IS - 4
UR - http://geodesic.mathdoc.fr/item/FAA_2000_34_4_a1/
LA - ru
ID - FAA_2000_34_4_a1
ER -
%0 Journal Article
%A D. A. Korotkin
%A V. B. Matveev
%T Theta Function Solutions of the Schlesinger System and the Ernst Equation
%J Funkcionalʹnyj analiz i ego priloženiâ
%D 2000
%P 18-34
%V 34
%N 4
%U http://geodesic.mathdoc.fr/item/FAA_2000_34_4_a1/
%G ru
%F FAA_2000_34_4_a1
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.
