Symplectic deformations of Kähler manifolds. (English) Zbl 1119.58011

de Bartolomeis, Paolo

J. Symplectic Geom. 3, No. 3, 341-355 (2005).

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.

Reviewer: Christian Günther (Libby)

MSC:

58H15	Deformations of general structures on manifolds
53C55	Global differential geometry of Hermitian and Kählerian manifolds

Keywords:

Kähler manifolds; symplectic deformations; moduli space