@article{TMF_1994_99_3_a24,
author = {I. A. Strachan},
title = {Integrable and near-integrable dynamical systems associated with {Bianchi} {IX} metrics},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {545--551},
year = {1994},
volume = {99},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1994_99_3_a24/}
}
I. A. Strachan. Integrable and near-integrable dynamical systems associated with Bianchi IX metrics. Teoretičeskaâ i matematičeskaâ fizika, Tome 99 (1994) no. 3, pp. 545-551. http://geodesic.mathdoc.fr/item/TMF_1994_99_3_a24/
[1] G. F. R. Ellis, M. A. H. MacCallum, “Homogeneous Cosmological Models”, Commun. Math. Phys., 12 (1969), 108–141 | DOI | MR | Zbl
[2] J. D. Barrow, “Chaos in the Einstein Equations”, Phys. Rev. Lett., 46 (1981), 963–966 | DOI | MR
[3] A. Besse, Mnogoobraziya Einshteina, v. I,II, Mir, Moscow, 1990 | MR | Zbl
[4] R. Penrose, “Nonlinear gravitons and curved twistor theory”, Gen. Rel. Grav., 7 (1976), 31–52 | DOI | MR | Zbl
[5] R. S. Ward, “Integrable Systems in Twistor Theory”, Twistors in Mathematics and Physics, eds. T .N. Bailey, R. J. Baston, Cambridge University Press, 1990 | MR
[6] K. P. Tod, “A comment on a paper of Pedersen and Poon”, Class. Quantum Gravity, 8 (1991), 1049–1051 | DOI | MR | Zbl
[7] K. P. Tod, “Metrics with Self-Dual tensor from Painlevé VI”, Twistor Newsletter, 35 (1992), 5–7
[8] V. A. Belinskii, G. W. Gibbons, D. N. Page, C. N. Pope, “Asymptotically Euclidean Bianchi IX metrics in quantum gravity”, Phys. Lett. B, 76 (1978), 433–435 | DOI | MR
[9] M. F. Atiyah, N. J. Hitchin, The geometry and dynamics of magnetic monopoles, Princeton University Press, 1988 | MR | Zbl
[10] H. Pedersen, Y. S. Poon, “Kähler surfaces with zero scalar curvature”, Classical and Quantum Gravity, 7 (1990), 1707–1719 | DOI | MR | Zbl
[11] A. S. Dancer, Scalar-flat Kähler metrics with $SU(2)$ symmetry, Cambridge preprint | MR
[12] R. S. Ward, “Self-dual space-times with cosmological constant”, Commun. Math. Phys., 78 (1980), 1–17 | DOI | MR | Zbl
[13] N. J. Hitchin, Unpublished
[14] H. Pedersen, “Einstein metrics, Spinning Top Motions and Monopoles”, Math. Ann., 274 (1986), 35–59 | DOI | MR | Zbl
[15] K. P. Tod, “Cohomogeneity-one metrics with self-dual Weyl tensor”, The proceedings of the Twistor Theory Conference held at Newton Abbot (August 1993)
[16] C. LeBrun, “Explicit Self-Dual Metrics on $CP^2\#\dots\# CP^2$”, J. Differential Geometry, 34 (1991), 223–253 | DOI | MR | Zbl
[17] A. S. Dancer, Private communication
[18] A. Pickering, Private communication
[19] A. S. Dancer, I. A. B. Strachan, “Kähler–Einstein metrics with $SU(2)$ action”, Math. Proc. Camb. Phil. Soc., 115:3 (1994), 513–525 | DOI | MR | Zbl
[20] H. Pedersen, “Eguchi-Hanson metrics with cosmological constant”, Classical and Quantum Gravity, 2 (1985), 579–587 | DOI | MR | Zbl
[21] L. Witten, “Static axially symmetric solutions of the self-dual $SU(2)$ gauge fields in Euclidean four dimensional space”, Phys. Rev. D, 19 (1979), 718–720 | DOI
[22] V. A. Belinskii, V. E. Zakharov, “Stationary gravitational solitons with axial symmetry”, Soviet Phys. JETP, 77:1 (1979), 1–9 | MR
[23] N. O. Santos, “Solutions of the vacuum Einstein equations with non-zero cosmological constant for a stationary symmetric spacetime”, Class. Quantum Grav., 10 (1993), 2401–2406 | DOI | MR | Zbl
[24] A. S. Dancer, I. A. B. Strachan, “Cohomogeneity-one Kähler metrics”, The proceedings of the Twistor Theory Conference held at Newton Abbot (august 1993) | MR
[25] A. S. Dancer, I. A. B. Strachan, Einstein metrics of cohomogeneity one, preprint