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Closed geodesics on the space of stable two-monopoles. (English) Zbl 0820.53058

Summary: We show that the Atiyah-Hitchin metric on the space of stable two- monopoles admits closed geodesics.

MSC:

53Z05 Applications of differential geometry to physics
81T13 Yang-Mills and other gauge theories in quantum field theory
37D40 Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.)
53D25 Geodesic flows in symplectic geometry and contact geometry
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References:

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