EXTENDED DOUBLE RIEMANN-HILBERT PROBLEM AND MULTIPLE REPRESENTATIONS OF THE INFINITE-DIMENSIONAL SYMMETRICAL GROUP FOR THE STATIONARY AXISYMMETRICAL VACUUM FIELD-EQUATIONS
Yj. Gao et al., EXTENDED DOUBLE RIEMANN-HILBERT PROBLEM AND MULTIPLE REPRESENTATIONS OF THE INFINITE-DIMENSIONAL SYMMETRICAL GROUP FOR THE STATIONARY AXISYMMETRICAL VACUUM FIELD-EQUATIONS, Journal of mathematical physics, 38(6), 1997, pp. 3155-3165
The double-complex function method suggested in previous papers is ext
ended and the extended method is used to establish two mutually dual e
xtended double Hauser-Ernst equations and related Riemann-Hilbert prob
lems, then quadruple representations of the semidirect product of the
Kac-Moody and Virasoro groups are given. These show that, for the stat
ionary axisymmetric vacuum space-times, there are more and richer symm
etry structures than previously expected. The multiple forms of some w
ell-known transformations can be obtained as some special cases. (C) 1
997 American Institute of Physics.