Canonical sphere bundles of the Grassmann manifold

For a given Hilbert space H, consider the space of self-adjoint projections P(H). In this paper we study the differentiable structure of a canonical sphere bundle over P(H) given by R={(P,f)∈P(H)×H:Pf=f,‖f‖=1}.We establish the smooth action on R of the group of unitary operators of H, and it thereby...

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Autores principales: Andruchow, E., Chiumiento, E., Larotonda, G.
Formato: JOUR
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Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00465755_v_n_p_Andruchow
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