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Bundle of Hamiltonian Metrics on an almost Quaternion Real Manifold
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Hamiltonian metrics are introduced on an almost quaternion real manifold. It is proved that every almost quaternion para-compact real manifold admits a Hamiltonian metric. It is established that there is a bijective correspondence between the set of all Hamiltonj.an metrics on an almost quaternion real manifold of dimension 4m with respect to the -canonical almost quaternion structure and the homogeneous space Θ{GL(m,H)}/Θ{Sp(m)}.
Keywords
Almost Quaternion Structure, Homogeneous Manifolds.
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