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- W1966807875 abstract "Abstract The notion of a generalized CRF-structure on a smooth manifold was recently introduced and studied by Vaisman (2008) [6] . An important class of generalized CRF-structures on an odd dimensional manifold M consists of CRF-structures having complementary frames of the form ξ ± η , where ξ is a vector field and η is a 1-form on M with η ( ξ ) = 1 . It turns out that these kinds of CRF-structures give rise to a special class of what we called strong generalized contact structures in Poon and Wade [5] . More precisely, we show that to any CRF-structures with complementary frames of the form ξ ± η , there corresponds a canonical Lie bialgebroid. Finally, we explain the relationship between generalized contact structures and another generalization of the notion of a Cauchy–Riemann structure on a manifold." @default.
- W1966807875 created "2016-06-24" @default.
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- W1966807875 date "2010-08-01" @default.
- W1966807875 modified "2023-09-26" @default.
- W1966807875 title "Lie bialgebroids of generalized CRF-manifolds" @default.
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- W1966807875 doi "https://doi.org/10.1016/j.crma.2010.07.005" @default.
- W1966807875 hasPublicationYear "2010" @default.
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