Deformations of Nearly K\"{a}hler Structures
Differential Geometry
2019-01-08 v3
Abstract
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.
Cite
@article{arxiv.math/0611223,
title = {Deformations of Nearly K\"{a}hler Structures},
author = {Andrei Moroianu and Paul-Andi Nagy and Uwe Semmelmann},
journal= {arXiv preprint arXiv:math/0611223},
year = {2019}
}
Comments
15 pages