We study complex structures on the generalized tangent bundle of a smooth manifolds compatible with the standard symplectic structure defined by complex Norden and Para-Norden structures. We describe integrability conditions, we define the de bar operator and we study certain generalized holomorphic sections.
Generalized Geometry of Norden and Para-Norden manifolds / Nannicini, Antonella. - STAMPA. - 21:(2017), pp. 163-178. (Intervento presentato al convegno INDAM Meeting Complex and Symplectic Geometry tenutosi a Cortona (Italy) nel 12-18 giugno 2016) [10.1007/978-3-319-62914-8_13].
Generalized Geometry of Norden and Para-Norden manifolds
NANNICINI, ANTONELLA
2017
Abstract
We study complex structures on the generalized tangent bundle of a smooth manifolds compatible with the standard symplectic structure defined by complex Norden and Para-Norden structures. We describe integrability conditions, we define the de bar operator and we study certain generalized holomorphic sections.
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