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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)

     

Book Review

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Book Information

Author(s): Francis E. Burstall and John H. Rawnsley
Title: Twistor theory for Riemannian symmetric spaces
Additional book information: Springer-Verlag, Berlin and New York, 1990, 112 pp., $14.70. ISBN 3-540-52602-1


References:

1.
R. L. Bryant, Conformal and minimal immersions of compact surfaces into the 4-sphere, J. Differential Geom. 17 (1982), 455-473. MR 679067
2.
R. L. Bryant, Lie groups and twistor spaces, Duke Math. J. 52 (1985), 223-261. MR 791300
3.
E. Calabi, Quelques applications de l'analyse complex aux surfaces d'aire minima, Topics in Complex Manifolds, Université de Montréal, 1967.
4.
J. Eells and J. C. Wood, Harmonic maps from surfaces into projective spaces, Adv. in Math. 49 (1983), 217-263. MR 716372
5.
R. J. Baston and M. L. Eastwood, The Penrose transform: Its interaction with representation theory, Oxford Univ. Press, New York and London, 1989. MR 1038279
6.
A. Grothendieck, Sur la classification des fibrés holomorphes sur la sphère de Riemann, Amer. J. Math. 79 (1957), 121-138. MR 87176
7.
G. Harder and M. S. Narasimhan, On the cohomology groups of moduli spaces of vector bundles over curves, Math. Ann. 212 (1975), 215-248. MR 364254
8.
S. Helgason, Differential geometry, Lie groups, and symmetric spaces, Academic Press, New York, 1978. MR 514561
9.
S. J. Hugget and K. P. Tod, An introduction to twistor theory, Cambridge Univ. Press, Cambridge, 1985. MR 821467
10.
K. Uhlenbeck, Harmonic maps into Lie groups (classical solutions of the chiral model), J. Differential Geom. 30 (1989), 1-50. MR 1001271
11.
R. S. Ward and Raymond O. Wells, Jr., Twistor geometry and field theory, Cambridge Univ. Press, Cambridge, 1990. MR 1054377


Additional Information:

Reviewer(s):
Raymond O. Wells Jr.

Review Information:
Journal: Bull. Amer. Math. Soc. 25 (1991), 454-457.
DOI: 10.1090/S0273-0979-1991-16090-8
PII: S 0273-0979(1991)16090-8




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