Nonexistence of horizontal Sobolev surfaces in the Heisenberg group

Simple item page
dc.creatorMagnani, Valentino
dc.date2009-03-12
dc.date.accessioned2026-07-07T12:51:55Z
dc.date.available2026-07-07T12:51:55Z
dc.descriptionInvolutivity is a well known necessary condition for integrability of smooth tangent distributions. We show that this condition is still necessary for integrability with Sobolev surfaces. We specialize our study to the left invariant horizontal distribution of the first Heisenberg group $\H^1$. Here we answer a question raised in a paper by Z.M.Balogh, R.Hoefer-Isenegger, J.T.Tyson.
dc.identifierhttps://arxiv.org/abs/0903.2214
dc.identifierhttp://arxiv.org/abs/0903.2214
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/223145
dc.subjectAnalysis of PDEs
dc.subjectDifferential Geometry
dc.titleNonexistence of horizontal Sobolev surfaces in the Heisenberg group
dc.typetext

Files

Collections

arXiv