Generalized geometric structures on complex and symplectic manifolds
Given a complex manifold \((M, j)\) the author defines six families of distinguished generalized complex structures on \(M\) compatible with \(j\). These structures on \(M\) are sections of fiber bundles over \(M\) with typical fiber \(G/H\) for some Lie groups \(G\) and \(H\). These Lie groups are determined. Analogous method is applied for symplectic manifolds.
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