Deformations of Nearly Kähler Structures

Details Deformations of Nearly Kähler Structures Deformations of Nearly Kähler Structures

2006-11-08

arxiv.org/abs/math/0611223v3

Pacific Journal of Mathematics 235, 1 (2008) 57-72

Mathematics

Differential Geometry

15 pages

Scientific paper

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.

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