Journal article
Laplacian flow for closed G2 structures: Shi-type estimates, uniqueness and compactness
- Abstract:
-
We develop foundational theory for the Laplacian flow for closed G2 structures which will be essential for future study. (1). We prove Shi-type derivative estimates for the Riemann curvature tensor Rm and torsion tensor T along the flow, i.e. that a bound on Λ(x,t)=(|∇T(x,t)|2g(t)+|Rm(x,t)|2g(t))12 will imply bounds on all covariant derivatives of Rm and T. (2). We show that Λ(x,t) will blow up at a finite-time singularity, so the flow will exist as long as Λ(x,t) remains bounded. (3). We giv...
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- Publication status:
- Published
- Peer review status:
- Peer reviewed
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Bibliographic Details
- Publisher:
- Springer Publisher's website
- Journal:
- Geometric and Functional Analysis Journal website
- Volume:
- 27
- Issue:
- 1
- Pages:
- 165-233
- Publication date:
- 2017-01-30
- Acceptance date:
- 2016-12-30
- DOI:
- EISSN:
-
1420-8970
- ISSN:
-
1016-443X
Item Description
- Keywords:
- Pubs id:
-
pubs:956120
- UUID:
-
uuid:0c9426af-8297-4497-918f-9bad2374a705
- Local pid:
- pubs:956120
- Source identifiers:
-
956120
- Deposit date:
- 2019-02-04
Terms of use
- Copyright holder:
- Lotay et al
- Copyright date:
- 2017
- Notes:
-
© The Author(s) 2017
This article is distributed under the terms of the Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
- Licence:
- CC Attribution (CC BY)
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