Abstract
Let X be a compact Kähler manifolds with a non-trivial holomorphic Poisson structure β . Then there exist deformations { ( J β t , ψ t ) } of non-trivial generalized Kähler structures with one pure spinor on X . We prove that every Poisson submanifold of X is a generalized Kähler submanifold with respect to ( J β t , ψ t ) 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.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
