# 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
##### Keywords:
Kähler manifolds; symplectic deformations; moduli space
Full Text: