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Laplacian flow for closed G2 structures: real analyticity

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.
Publication status:
Published
Peer review status:
Peer reviewed
Version:
Accepted Manuscript

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Publisher copy:
10.4310/CAG.2019.v27.n1.a3

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Institution:
University of Oxford
Division:
MPLS Division
Department:
Mathematical Institute
Oxford college:
Balliol College
Role:
Author
ORCID:
0000-0002-0456-4538
Publisher:
International Press of Boston Publisher's website
Journal:
Communications in Analysis and Geometry Journal website
Volume:
27
Issue:
1
Pages:
73–109
Publication date:
2019-05-07
Acceptance date:
2016-12-12
DOI:
EISSN:
1944-9992
ISSN:
1019-8385
Pubs id:
pubs:968685
URN:
uri:9260a09a-252d-406e-88bb-6a45c6c3cfe1
UUID:
uuid:9260a09a-252d-406e-88bb-6a45c6c3cfe1
Local pid:
pubs:968685

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