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- W4289999870 abstract "We prove that on a compact Sasakian manifold $(M, eta, g)$ of dimension $2n+1$, for any $0 le p le n$ the wedge product with $eta wedge (deta)^p$ defines an isomorphism between the spaces of harmonic forms $Omega^{n-p}_Delta (M)$ and $Omega^{n+p+1}_Delta (M)$. Therefore it induces an isomorphism between the de Rham cohomology spaces $H^{n-p}(M)$ and $H^{n+p+1}(M)$. Such isomorphism is proven to be independent of the choice of a compatible Sasakian metric on a given contact manifold. As a consequence, an obstruction for a contact manifold to admit Sasakian structures is found." @default.
- W4289999870 created "2022-08-06" @default.
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- W4289999870 date "2013-06-12" @default.
- W4289999870 modified "2023-10-17" @default.
- W4289999870 title "Hard Lefschetz Theorem for Sasakian manifolds" @default.
- W4289999870 doi "https://doi.org/10.48550/arxiv.1306.2896" @default.
- W4289999870 hasPublicationYear "2013" @default.
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