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Hyperkähler metrics associated to compact Lie groups

Published online by Cambridge University Press:  24 October 2008

Andrew Dancer  and
Andrew Swann
Andrew Dancer
Affiliation:
Department of Mathematics and Statistics, McMaster University, Hamilton, Ontario LSS 4K1, Canada
Andrew Swann
Affiliation:
School of Mathematical Sciences, University of Bath, Claverton Down, Bath BA2 7AY
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Extract

It is well known that the cotangent bundle of any manifold has a canonical symplectic structure. If we specialize to the case when the manifold is a compact Lie group G, then this structure is preserved by the actions of G on T*G induced by left and right translation on G. We refer to these as the left and right actions of G on T*G.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 120 , Issue 1 , July 1996 , pp. 61 - 69
Copyright
Copyright © Cambridge Philosophical Society 1996

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References

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