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dc.contributor.authorJulia, Antoine
dc.contributor.authorNicolussi Golo, Sebastiano
dc.contributor.authorVittone, Davide
dc.date.accessioned2022-02-17T12:03:34Z
dc.date.available2022-02-17T12:03:34Z
dc.date.issued2022
dc.identifier.citationJulia, A., Nicolussi Golo, S., & Vittone, D. (2022). Area of intrinsic graphs and coarea formula in Carnot groups. <i>Mathematische Zeitschrift</i>, <i>301</i>(2), 1369-1406. <a href="https://doi.org/10.1007/s00209-021-02916-2" target="_blank">https://doi.org/10.1007/s00209-021-02916-2</a>
dc.identifier.otherCONVID_104294369
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/79820
dc.description.abstractWe consider submanifolds of sub-Riemannian Carnot groups with intrinsic C1 regularity (C1H). Our first main result is an area formula for C1H intrinsic graphs; as an application, we deduce density properties for Hausdorff measures on rectifiable sets. Our second main result is a coarea formula for slicing C1H submanifolds into level sets of a C1H function.en
dc.format.mimetypeapplication/pdf
dc.language.isoeng
dc.publisherSpringer Science and Business Media LLC
dc.relation.ispartofseriesMathematische Zeitschrift
dc.rightsCC BY 4.0
dc.subject.otherCarnot groups
dc.subject.otherarea formula
dc.subject.othercoarea formula
dc.subject.otherHausdorff measures
dc.subject.othersubmanifolds
dc.titleArea of intrinsic graphs and coarea formula in Carnot groups
dc.typearticle
dc.identifier.urnURN:NBN:fi:jyu-202202171547
dc.contributor.laitosMatematiikan ja tilastotieteen laitosfi
dc.contributor.laitosDepartment of Mathematics and Statisticsen
dc.contributor.oppiaineMatematiikkafi
dc.contributor.oppiaineMathematicsen
dc.type.urihttp://purl.org/eprint/type/JournalArticle
dc.type.coarhttp://purl.org/coar/resource_type/c_2df8fbb1
dc.description.reviewstatuspeerReviewed
dc.format.pagerange1369-1406
dc.relation.issn0025-5874
dc.relation.numberinseries2
dc.relation.volume301
dc.type.versionpublishedVersion
dc.rights.copyright© The Author(s) 2022
dc.rights.accesslevelopenAccessfi
dc.subject.ysoryhmäteoria
dc.subject.ysodifferentiaaligeometria
dc.subject.ysomittateoria
dc.format.contentfulltext
jyx.subject.urihttp://www.yso.fi/onto/yso/p12497
jyx.subject.urihttp://www.yso.fi/onto/yso/p16682
jyx.subject.urihttp://www.yso.fi/onto/yso/p13386
dc.rights.urlhttps://creativecommons.org/licenses/by/4.0/
dc.relation.doi10.1007/s00209-021-02916-2
jyx.fundinginformationThe authors are supported by the University of Padova STARS Project “Sub-Riemannian Geometry and Geometric Measure Theory Issues: Old and New” (SUGGESTION). They also acknowledge the support of GNAMPA of INdAM and FFABR 2017 of MIUR (Italy). Open Access funding provided by University of Jyväskylä (JYU).
dc.type.okmA1


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