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- W2000931877 abstract "Abstract Let ω be a local nonvanishing differential 1-form on a (2k+1)-dimensional manifold with structurally smooth hypersurface S of singular points (the points at which us A (dw)k vanishes). We prove that in the holomorphic, real-analytic, and C ∞ categories, the Pfaffian equation (ω) is determined, up to a diffeomorphism, by its restriction to S , a canonical connection, and (in the real-analytic and the C ∞ cases) a canonical orientation. On the other hand, if we exclude certain degenerations of infinite codimension, then the restriction determines the connection and the orientation. Then (ω) is determined, up to a diffeomorphism, by its restriction to S ." @default.
- W2000931877 created "2016-06-24" @default.
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- W2000931877 date "1997-08-01" @default.
- W2000931877 modified "2023-10-18" @default.
- W2000931877 title "Odd-dimensional pfaffian equations: Reduction to the hypersurface of singular points" @default.
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- W2000931877 doi "https://doi.org/10.1016/s0764-4442(97)85629-7" @default.
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