Lotay, JD;
Wei, Y;
(2019)
Laplacian flow for closed G₂ structures: real analyticity.
Communications in Analysis and Geometry
, 27
(1)
pp. 73-109.
10.4310/CAG.2019.v27.n1.a3.
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Abstract
Let φ(t),t∈[0,T0] be a solution to the Laplacian flow for closed G2 structures on a compact 7-manifold M. We show that for each fixed time t∈(0,T0],(M,φ(t),g(t)) is real analytic, where g(t) is the metric induced by φ(t). Consequently, any Laplacian soliton is real analytic and we obtain unique continuation results for the flow.
| Type: | Article |
|---|---|
| Title: | Laplacian flow for closed G₂ structures: real analyticity |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.4310/CAG.2019.v27.n1.a3 |
| Publisher version: | https://doi.org/10.4310/CAG.2019.v27.n1.a3 |
| Language: | English |
| Additional information: | This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions. |
| 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/1531969 |
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