Local classification of generalized complex structures
classification
🧮 math.DG
math.SG
keywords
complexgeneralizedclassificationlocalmanifoldstructuresargumentconn
read the original abstract
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.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.