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dc.contributor.authorRitoré Cortés, Manuel María 
dc.date.accessioned2021-02-19T11:15:37Z
dc.date.available2021-02-19T11:15:37Z
dc.date.issued2017-09-20
dc.identifier.citationRitoré, M. (2021). Tubular neighborhoods in the sub-Riemannian Heisenberg groups. Advances in Calculus of Variations, 14(1), 1-36. [https://doi.org/10.1515/acv-2017-0011]es_ES
dc.identifier.urihttp://hdl.handle.net/10481/66666
dc.description.abstractIn the present paper we consider the Carnot–Carathéodory distance δE to a closed set E in the sub-RiemannianHeisenberg groupsℍn, n ⩾ 1. Theℍ-regularity of δE is proved under mild conditions involving a general notion of singular points. In case E is a Euclidean Ck submanifold, k ⩾ 2, we prove that δE is Ck out of the singular set. Explicit expressions for the volume of the tubular neighborhood when the boundary of E is of class C2 are obtained, out of the singular set, in terms of the horizontal principal curvatures of ∂E and of the function ⟨N, T⟩/|Nh| and its tangent derivatives.es_ES
dc.description.sponsorshipEuropean Union (EU) Spanish Government MTM2007-61919 MTM2013-48371-C2-1-Pes_ES
dc.description.sponsorshipJunta de Andalucía FQM-325es_ES
dc.language.isoenges_ES
dc.publisherWalter De Gruyter Gmbhes_ES
dc.rightsAtribución-NoComercial-SinDerivadas 3.0 España*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/*
dc.subjectHeisenberg groupes_ES
dc.subjectCarnot–Carathéodory distancees_ES
dc.subjecttubular neighborhoodses_ES
dc.subjectDistance functiones_ES
dc.subjectSingular setes_ES
dc.subjectSteiner’s formulaes_ES
dc.titleTubular neighborhoods in the sub-Riemannian Heisenberg groupses_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses_ES
dc.identifier.doi10.1515/acv-2017-0011
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersiones_ES


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