Foscolo, L;
(2017)
Deformation theory of nearly Kahler manifolds.
Journal of the London Mathematical Society
, 95
(2)
pp. 586-612.
10.1112/jlms.12033.
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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.
| Type: | Article |
|---|---|
| Title: | Deformation theory of nearly Kahler manifolds |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1112/jlms.12033 |
| Publisher version: | https://doi.org/10.1112/jlms.12033 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | Science & Technology, Physical Sciences, Mathematics, RIGIDITY |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery-pp.ucl.ac.uk/id/eprint/10082206 |
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