Deformations of Nearly K\"{a}hler Structures
  We study the space of nearly K\"{a}hler structures on compact 6-dimensional manifolds. In particular, we prove that the space of infinitesimal deformations of a strictly nearly K\"{a}hler structure (with scalar curvature scal) modulo the group of diffeomorphisms, is isomorphic to the space of primitive co-closed (1,1)-eigenforms of the Laplace operator for the eigenvalue 2scal/5. 
Andrei Moroianu (CMLS-X), Paul-Andi Nagy (AUKLAND), Uwe Semmelmann   (UNI KOELN)