Poisson structures and generalized Kahler structures

Ryushi Goto

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arXiv · 0712.2685

Poisson structures and generalized Kahler structures

Ryushi Goto

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Abstract

Let X be a compact Kahler manifold with a non-trivial holomorphic Poisson structure. Then there exist deformations of non-trivial generalized Kahler structures with one pure spinor on X. We prove that every Poisson submanifold of X is a generalized Kahler submanifold with respect to the deformed generalized Kahler structures and provide non-trivial examples of generalized Kahler submanifolds arising as holomorphic Poisson submanifolds. We also obtain unobstructed deformations of bi-Hermitian structures constructed from Poisson structures.

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Ryushi Goto. 2008-03-10. Poisson structures and generalized Kahler structures. https://arxiv.org/abs/0712.2685

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