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Deformations of Nearly Kähler Structures

Andrei Moroianu·Paul-Andi Nagy·Uwe Semmelmann
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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 co-closed (1,1)-eigenforms of the Laplace operator for the eigenvalue 2scal/5.

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Andrei Moroianu, Paul-Andi Nagy, Uwe Semmelmann. 2007-02-16. Deformations of Nearly Kähler Structures. https://arxiv.org/abs/math/0611223

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