DOUBLE HARMONIC-MAPPINGS OF RIEMANNIAN-MANIFOLDS AND ITS APPLICATIONSTO STATIONARY AXISYMMETRICAL GRAVITATIONAL-FIELDS

Authors
WU YB
Citation
Yb. Wu, DOUBLE HARMONIC-MAPPINGS OF RIEMANNIAN-MANIFOLDS AND ITS APPLICATIONSTO STATIONARY AXISYMMETRICAL GRAVITATIONAL-FIELDS, International journal of theoretical physics, 33(12), 1994, pp. 2415-2427
Citations number
6
Categorie Soggetti
Physics
Journal title
International journal of theoretical physics → ACNP
ISSN journal
00207748
Volume
33
Issue
12
Year of publication
1994
Pages
2415 - 2427
Database
ISI
SICI code
0020-7748(1994)33:12<2415:DHORAI>2.0.ZU;2-R
Abstract
Harmonic mappings of Riemannian manifolds are discussed by a double co mplex function method, and the double-complex Ernst equation and the r elated Backlund transformations are naturally derived. Further, the Er nst solution and its dual solution are obtained by two different metho ds, respectively. Therefore, the results obtained by A. Eris are exten ded to a double form.