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dc.contributor.author
Carlotto, Alessandro
dc.contributor.author
Li, Chao
dc.date.accessioned
2022-02-15T06:43:53Z
dc.date.available
2022-01-17T14:56:47Z
dc.date.available
2022-02-15T06:43:53Z
dc.date.issued
2021-07-23
dc.identifier.uri
http://hdl.handle.net/20.500.11850/526327
dc.identifier.doi
10.3929/ethz-b-000526327
dc.description.abstract
We prove that various spaces of constrained positive scalar curvature metrics on compact 3-manifolds with boundary, when not empty, are contractible. The constraints we mostly focus on are given in terms of local conditions on the mean curvature of the boundary, and our treatment includes both the mean-convex and the minimal case. We then discuss the implications of these results on the topology of different subspaces of asymptotically flat initial data sets for the Einstein field equations in general relativity.
en_US
dc.format
application/pdf
en_US
dc.language.iso
en
en_US
dc.publisher
Cornell University
en_US
dc.rights.uri
http://creativecommons.org/licenses/by/4.0/
dc.title
Constrained deformations of positive scalar curvature metrics, II
en_US
dc.type
Working Paper
dc.rights.license
Creative Commons Attribution 4.0 International
ethz.journal.title
arXiv
ethz.pages.start
2107.11161v1
en_US
ethz.size
61 p.
en_US
ethz.grant
CHallenges in ANalysis and GEometry, between mean and scalar curvature
en_US
ethz.identifier.arxiv
2107.11161v1
ethz.publication.place
Ithaca, NY
en_US
ethz.publication.status
published
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ethz.leitzahl
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02000 - Dep. Mathematik / Dep. of Mathematics::02003 - Mathematik Selbständige Professuren::09582 - Carlotto, Alessandro (ehemalig) / Carlotto, Alessandro (former)
en_US
ethz.leitzahl.certified
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02000 - Dep. Mathematik / Dep. of Mathematics::02003 - Mathematik Selbständige Professuren::09582 - Carlotto, Alessandro (ehemalig) / Carlotto, Alessandro (former)
en_US
ethz.grant.agreementno
947923
ethz.grant.fundername
EC
ethz.grant.funderDoi
10.13039/501100000780
ethz.grant.program
H2020
ethz.relation.isPreviousVersionOf
10.3929/ethz-b-000517365
ethz.date.deposited
2022-01-17T14:56:54Z
ethz.source
FORM
ethz.eth
yes
en_US
ethz.availability
Open access
en_US
ethz.rosetta.installDate
2022-02-15T06:44:22Z
ethz.rosetta.lastUpdated
2023-02-07T00:14:08Z
ethz.rosetta.exportRequired
true
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true
ethz.COinS
ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.atitle=Constrained%20deformations%20of%20positive%20scalar%20curvature%20metrics,%20II&rft.jtitle=arXiv&rft.date=2021-07-23&rft.spage=2107.11161v1&rft.au=Carlotto,%20Alessandro&Li,%20Chao&rft.genre=preprint&
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