Abstract

We study the space of nearly Kähler structures on compact 6-dimensional manifolds. In particular, we prove that the space of infinitesimal deformations of a strictly nearly Kähler structure (with scalar curvature scal) modulo the group of diffeomorphisms is isomorphic to the space of primitive coclosed (1,1)-eigenforms of the Laplace operator for the eigenvalue 2 scal ∕ 5.

Keywords

infinitesimal deformations, SU₃ structures, nearly Kähler manifolds, Gray manifolds

Mathematical Subject Classification 2000

Primary: 58E30, 53C10, 53C15

Milestones

Received: 7 June 2007
Revised: 10 September 2007

Authors