dc.contributor.author | Julia, Antoine | |
dc.contributor.author | Nicolussi Golo, Sebastiano | |
dc.contributor.author | Vittone, Davide | |
dc.date.accessioned | 2022-02-17T12:03:34Z | |
dc.date.available | 2022-02-17T12:03:34Z | |
dc.date.issued | 2022 | |
dc.identifier.citation | Julia, 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.other | CONVID_104294369 | |
dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/79820 | |
dc.description.abstract | We 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.mimetype | application/pdf | |
dc.language.iso | eng | |
dc.publisher | Springer Science and Business Media LLC | |
dc.relation.ispartofseries | Mathematische Zeitschrift | |
dc.rights | CC BY 4.0 | |
dc.subject.other | Carnot groups | |
dc.subject.other | area formula | |
dc.subject.other | coarea formula | |
dc.subject.other | Hausdorff measures | |
dc.subject.other | submanifolds | |
dc.title | Area of intrinsic graphs and coarea formula in Carnot groups | |
dc.type | article | |
dc.identifier.urn | URN:NBN:fi:jyu-202202171547 | |
dc.contributor.laitos | Matematiikan ja tilastotieteen laitos | fi |
dc.contributor.laitos | Department of Mathematics and Statistics | en |
dc.contributor.oppiaine | Matematiikka | fi |
dc.contributor.oppiaine | Mathematics | en |
dc.type.uri | http://purl.org/eprint/type/JournalArticle | |
dc.type.coar | http://purl.org/coar/resource_type/c_2df8fbb1 | |
dc.description.reviewstatus | peerReviewed | |
dc.format.pagerange | 1369-1406 | |
dc.relation.issn | 0025-5874 | |
dc.relation.numberinseries | 2 | |
dc.relation.volume | 301 | |
dc.type.version | publishedVersion | |
dc.rights.copyright | © The Author(s) 2022 | |
dc.rights.accesslevel | openAccess | fi |
dc.subject.yso | ryhmäteoria | |
dc.subject.yso | differentiaaligeometria | |
dc.subject.yso | mittateoria | |
dc.format.content | fulltext | |
jyx.subject.uri | http://www.yso.fi/onto/yso/p12497 | |
jyx.subject.uri | http://www.yso.fi/onto/yso/p16682 | |
jyx.subject.uri | http://www.yso.fi/onto/yso/p13386 | |
dc.rights.url | https://creativecommons.org/licenses/by/4.0/ | |
dc.relation.doi | 10.1007/s00209-021-02916-2 | |
jyx.fundinginformation | The 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.okm | A1 | |