Manifolds with an SU(2)-action on the tangent bundle

Details Manifolds with an SU(2)-action on the tangent bundle Manifolds with an SU(2)-action on the tangent bundle

2003-09-18

arxiv.org/abs/math/0309301v2

Mathematics

Differential Geometry

23 pages

Scientific paper

We study manifolds arising as spaces of sections of complex manifolds
fibering over the projective line with normal bundle of each section isomorphic
to several copies of O(k). Such manifolds provide a natural setting for certain
integrable systems, "monopoles", which comprise the Bogomolny hierarchy and the
self-dual hierarchy.

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