LOCAL CLASSIFICATION OF GENERALIZED COMPLEX STRUCTURES

作者：Bailey Michael^*

来源：Journal of Differential Geometry, 2013, 95(1): 1-37.

We give a local classification of generalized complex structures. About a point, a generalized complex structure is equivalent to a product of a symplectic manifold with a holomorphic Poisson manifold. We use a Nash-Moser type argument in the style of Conn's linearization theorem.

• 出版日期2013-8