×

zbMATH — the first resource for mathematics

Symplectic deformations of Kähler manifolds. (English) Zbl 1119.58011
For a compact symplectic manifold the cohomology space \(H^2(M,\mathbb R)\) represents the formal tangent space of the moduli space of germs of symplectic deformation. For a Kähler manifold the author provides a complete description of the subset of \(H^2(M,\mathbb R)\) corresponding to Kähler deformations. Examples including the \(2n\)-torus are discussed.

MSC:
58H15 Deformations of general structures on manifolds
53C55 Global differential geometry of Hermitian and Kählerian manifolds
PDF BibTeX XML Cite
Full Text: DOI Euclid