UCL Discovery
UCL home » Library Services » Electronic resources » UCL Discovery

Deformation theory of nearly Kahler manifolds

Foscolo, L; (2017) Deformation theory of nearly Kahler manifolds. Journal of the London Mathematical Society , 95 (2) pp. 586-612. 10.1112/jlms.12033. Green open access

[thumbnail of Foscolo jlms.12033.pdf]
Preview
Text
Foscolo jlms.12033.pdf - Accepted Version

Download (439kB) | Preview

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.ucl.ac.uk/id/eprint/10082206
Downloads since deposit
237Downloads
Download activity - last month
Download activity - last 12 months
Downloads by country - last 12 months

Archive Staff Only

View Item View Item