Abstract
Let be a compact Kähler manifolds with a non-trivial holomorphic Poisson structure . Then there exist deformations of non-trivial generalized Kähler structures with one pure spinor on . We prove that every Poisson submanifold of is a generalized Kähler submanifold with respect to and provide non-trivial examples of generalized Kähler submanifolds arising as holomorphic Poisson submanifolds. We also obtain unobstructed deformations of bihermitian structures constructed from Poisson structures.
Citation
Ryushi GOTO. "Poisson structures and generalized Kähler submanifolds." J. Math. Soc. Japan 61 (1) 107 - 132, January, 2009. https://doi.org/10.2969/jmsj/06110107
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