- F.E. Burstall, D. Ferus, F. Pedit, U. Pinkall
**Harmonic tori in symmetric spaces and commuting Hamiltonian systems on loop algebras**Ann. of Math. 138 (1993) 173-212 MR 94m:58057.We show how "most" harmonic 2-tori in a symmetric space are constructed from solutions of an algebraically completely integrable system.

Reprints are available.

- F. Burstall, S. Gutt, J. Rawnsley
**Twistor spaces for Riemannian symmetric spaces**Math. Ann. 295 (1993) 729-743 MR 94f:53095.We describe the structure of the zero set of the Nijenhuis tensor of the twistor space of a non-inner Riemannian symmetric space.

A few reprints are available as well as the preprint version as

`dvi`

,`PostScript`

or`pdf`

. - F. Burstall, O. Muskarov, G. Grantcharov, J. Rawnsley
**Hermitian structures on Hermitian symmetric spaces**J. Geom. Phys. 10 (1993) 254-249 MR 94a:32051.The only (integrable) Hermitian structures on a Hermitian symmetric space are the invariant ones..

A few reprints are available as well as the preprint version as

`dvi`

,`PostScript`

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**Harmonic tori in Lie groups**in*Geometry and topology of submanifolds, III*(L. Verstraelen and A. West, eds) World Scientific 1991, pages 73-80 MR 96h:58042.First steps towards the story in the

*Annals*paper: we write down an integrable pair of commuting Lax ODE on a loop algebra that produce harmonic maps.The preprint version is available as

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**Harmonic maps and soliton theory**Mat. Contemp. 2 (1992) 1-18 MR 96g:58042.An overview of the results in the

*Annals*paper together with my only excursion into Algebraic Geometry: I use the beautiful formalism of Griffiths ( MR 87c:58048) to show that the Lax equations linearise on the Jacobian of the spectral curve.The preprint version is available as

`dvi`

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**Minimal surfaces in quaternionic symmetric spaces**in*Geometry of Low-Dimensional Manifolds, 1*(S.K. Donaldson and C.B. Thomas, eds.) L.M.S. Lect. Notes vol. 150, Cambridge Univ. Press 1990, pages 231-235 MR 93i:53058.There is a birational contact transformation between the twistor spaces of any two Wolf spaces of the same dimension. This explains where the Bryant correspondence comes from. Later Kobak showed that these are the only possible examples amongst all flag manifolds ( MR 95e:32034).

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**Riemannian twistor spaces and holonomy groups**in*Twistors in mathematics and physics*(T.N. Bailey and R.J. Baston, eds.) L.M.S. Lect. Notes vol. 156, Cambridge Univ. Press 1990, pages 53-70 MR 92b:53110.Integrability of the canonical almost complex structure is examined on subbundles of twistor space picked out by the holonomy group.

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.

Fran Burstall <feb@maths.bath.ac.uk> Last modified: Wed Sep 18 16:10:57 BST 2002