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dc.contributor.authorAngulo, Pablo
dc.contributor.authorFaraco, Daniel
dc.contributor.authorGuijarro, Luis
dc.contributor.authorSalo, Mikko
dc.date.accessioned2021-08-18T06:44:21Z
dc.date.available2021-08-18T06:44:21Z
dc.date.issued2020
dc.identifier.citationAngulo, P., Faraco, D., Guijarro, L., & Salo, M. (2020). Limiting Carleman weights and conformally transversally anisotropic manifolds. <i>Transactions of the American Mathematical Society</i>, <i>373</i>(7), 5171-5197. <a href="https://doi.org/10.1090/tran/8072" target="_blank">https://doi.org/10.1090/tran/8072</a>
dc.identifier.otherCONVID_41602117
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/77415
dc.description.abstractWe analyze the structure of the set of limiting Carleman weights in all conformally flat manifolds, $ 3$-manifolds, and $ 4$-manifolds. In particular we give a new proof of the classification of Euclidean limiting Carleman weights, and show that there are only three basic such weights up to the action of the conformal group. In dimension three we show that if the manifold is not conformally flat, there could be one or two limiting Carleman weights. We also characterize the metrics that have more than one limiting Carleman weight. In dimension four we obtain a complete spectrum of examples according to the structure of the Weyl tensor. In particular, we construct unimodular Lie groups whose Weyl or Cotton-York tensors have the symmetries of conformally transversally anisotropic manifolds, but which do not admit limiting Carleman weights.en
dc.format.mimetypeapplication/pdf
dc.language.isoeng
dc.publisherAmerican Mathematical Society
dc.relation.ispartofseriesTransactions of the American Mathematical Society
dc.rightsIn Copyright
dc.titleLimiting Carleman weights and conformally transversally anisotropic manifolds
dc.typearticle
dc.identifier.urnURN:NBN:fi:jyu-202108184578
dc.contributor.laitosMatematiikan ja tilastotieteen laitosfi
dc.contributor.laitosDepartment of Mathematics and Statisticsen
dc.contributor.oppiaineMatematiikkafi
dc.contributor.oppiaineInversio-ongelmien huippuyksikköfi
dc.contributor.oppiaineMathematicsen
dc.contributor.oppiaineCentre of Excellence in Inverse Problemsen
dc.type.urihttp://purl.org/eprint/type/JournalArticle
dc.type.coarhttp://purl.org/coar/resource_type/c_2df8fbb1
dc.description.reviewstatuspeerReviewed
dc.format.pagerange5171-5197
dc.relation.issn0002-9947
dc.relation.numberinseries7
dc.relation.volume373
dc.type.versionacceptedVersion
dc.rights.copyright© 2020 American Mathematical Society
dc.rights.accesslevelopenAccessfi
dc.relation.grantnumber284715 HY
dc.relation.grantnumber309963
dc.relation.grantnumber770924
dc.relation.grantnumber770924
dc.relation.projectidinfo:eu-repo/grantAgreement/EC/H2020/770924/EU//IPTheoryUnified
dc.subject.ysoosittaisdifferentiaaliyhtälöt
dc.subject.ysomonistot
dc.subject.ysoinversio-ongelmat
dc.subject.ysodifferentiaaligeometria
dc.format.contentfulltext
jyx.subject.urihttp://www.yso.fi/onto/yso/p12392
jyx.subject.urihttp://www.yso.fi/onto/yso/p28181
jyx.subject.urihttp://www.yso.fi/onto/yso/p27912
jyx.subject.urihttp://www.yso.fi/onto/yso/p16682
dc.rights.urlhttp://rightsstatements.org/page/InC/1.0/?language=en
dc.relation.doi10.1090/tran/8072
dc.relation.funderResearch Council of Finlanden
dc.relation.funderResearch Council of Finlanden
dc.relation.funderEuropean Commissionen
dc.relation.funderSuomen Akatemiafi
dc.relation.funderSuomen Akatemiafi
dc.relation.funderEuroopan komissiofi
jyx.fundingprogramCentre of Excellence, AoFen
jyx.fundingprogramAcademy Project, AoFen
jyx.fundingprogramERC Consolidator Granten
jyx.fundingprogramHuippuyksikkörahoitus, SAfi
jyx.fundingprogramAkatemiahanke, SAfi
jyx.fundingprogramERC Consolidator Grantfi
jyx.fundinginformationThe first author was supported by research grant MTM2017-85934-C3-3-P from the Ministerio de Ciencia e Innovación (MCINN) and ERC 301179. The second and third authors were supported by research grants MTM2014-57769-1-P, MTM2014- 57769-3-P, MTM2017-85934-C3-2-P from MCINN, by ICMAT Severo Ochoa projects SEV-2011-0087 and SEV-2015-0554 (MINECO), by ERC 301179 and by ERC 34728. The fourth author was supported by the Academy of Finland (grants 284715 and 309963) and by ERC under Horizon 2020 (ERC CoG 770924).
dc.type.okmA1


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