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- W1967830147 abstract "For a Lie $mathfrak {g}$-foliation $mathcal {F}$ on a closed manifold $M$, there is an infinitesimal action of $mathfrak {g}$ on $M$ up to homotopy along the leaves, in general it is not an action but defines an action of the corresponding connected simply connected Lie group $mathfrak {S}$ on the term ${E_1}$ of the spectral sequence associated to $mathcal {F}$. Even though ${E_1}$ in general is infinite-dimensional and non-Hausdorff (with the topology induced by the ${mathcal {C}^infty }$-topology), it is proved that this action can be averaged when $mathfrak {S}$ is compact, obtaining a tensor decomposition theorem of ${E_2}$. It implies duality in the whole term ${E_2}$ for Riemannian foliations on closed oriented manifolds with compact semisimple structural Lie algebra." @default.
- W1967830147 created "2016-06-24" @default.
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- W1967830147 date "1992-01-01" @default.
- W1967830147 modified "2023-09-25" @default.
- W1967830147 title "A decomposition theorem for the spectral sequence of Lie foliations" @default.
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- W1967830147 doi "https://doi.org/10.1090/s0002-9947-1992-1041050-4" @default.
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