Journal article
Stability of torsion-free G_2 structures along the Laplacian flow
- Abstract:
- We prove that torsion-free G_2 structures are (weakly) dynamically stable along the Laplacian flow for closed G_2 structures. More precisely, given a torsion-free G_2 structure $\varphi$ on a compact 7-manifold, the Laplacian flow with initial value cohomologous and sufficiently close to $\varphi$ will converge to a torsion-free G_2 structure which is in the orbit of $\varphi$ under diffeomorphisms isotopic to the identity.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
Actions
Access Document
- Files:
-
-
(Accepted manuscript, pdf, 308.2KB)
-
- Publisher copy:
- 10.4310/jdg/1552442608
Why is the content I wish to access not available via ORA?
Bibliographic data (the information relating to research outputs) and full-text items (e.g. articles, theses, reports, etc.) arrive in ORA from several different sources. Unfortunately we are not able to make available the full-text for every research output.
Please contact the ORA team (
) if you have queries regarding unavailable content OR if you are aware of a full-text copy we can make available.
) if you have queries regarding unavailable content OR if you are aware of a full-text copy we can make available.
Content may be unavailable for the following four reasons
-
Version unsuitable
-
We have not obtained a suitable full-text for a given research output. See this page for more information.
-
Recently completed
-
Sometimes content is held in ORA but is unavailable for a fixed period of time to comply with the policies and wishes of rights holders.
-
Permissions
-
All content made available in ORA should comply with relevant rights, such as copyright. See this page for more information.
-
Clearance
-
Some thesis volumes scanned as part of the digitisation scheme funded by Dr Leonard Polonsky are currently unavailable due to sensitive material or uncleared third-party copyright content. We are attempting to contact authors whose theses are affected.
Alternative access to the full-text
You may be able to access the full-text directly from the publisher's website using the 'Publisher Copy' link in the 'Links & Downloads' box from a research output's ORA record page. This method may require an institutional or individual subscription to the journal/resource.
Authors
Bibliographic Details
- Publisher:
- International Press Publisher's website
- Journal:
- Journal of Differential Geometry Journal website
- Volume:
- 111
- Issue:
- 3
- Pages:
- 495-526
- Publication date:
- 2019-03-13
- Acceptance date:
- 2017-05-08
- DOI:
- EISSN:
-
1945-743X
- ISSN:
-
0022-040x
- Source identifiers:
-
968683
Item Description
- Pubs id:
-
pubs:968683
- UUID:
-
uuid:00b6d397-c07b-4f1f-8ef2-c0afd5626b10
- Local pid:
- pubs:968683
- Deposit date:
- 2019-02-04
Terms of use
- Copyright date:
- 2019
- Notes:
- This is the accepted manuscript version of the article. The final version is available online from International Press at: 10.4310/jdg/1552442608
If you are the owner of this record, you can report an update to it here: Report update to this record