Deformation theory of nearly Kähler manifolds

Lorenzo Foscolo

Research output: Contribution to journalArticle

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Abstract

Nearly Kähler manifolds are the Riemannian 6-manifolds admitting real Killing spinors. Equivalently, the Riemannian cone over a nearly Kähler manifold has holonomy contained in G2. In this paper we study the deformation theory of nearly Kähler manifolds, showing that it is obstructed in general. More precisely, we show that the infinitesimal deformations of the homogeneous nearly Kähler structure on the flag manifold are all obstructed to second order.
Original languageEnglish
Pages (from-to)586–612
Number of pages27
JournalJournal of the London Mathematical Society
Volume95
Issue number2
Early online date8 Feb 2017
DOIs
Publication statusPublished - Apr 2017

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