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Annali di Matematica Pura ed Applicata (1923 -)
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An integral formula on the Heisenberg group

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 28 Aug 2012Embargo end date: 01 Jan 2012 English Publisher:Springer Science and Business Media LLCJournal:Annali di Matematica Pura ed Applicata, volume 193, pages 405-422 (issn: 0373-3114, eissn: 1618-1891, Copyright policy )
Authors: MONTEFALCONE, FRANCESCOPAOLO;

doi: 10.1007/s10231-012-0282-x , 10.48550/arxiv.1203.5975

arXiv: http://arxiv.org/abs/1203.5975

handle: 11577/2578858

An integral formula on the Heisenberg group

Abstract

Let Hn denote the (2n + 1)-dimensional (sub-Riemannian) Heisenberg group. In this note, we shall prove an integral identity (see Theorem 1.2) which generalizes a formula obtained in the Seventies by Reilly. Some first applications will be given in Section 4.

14 pages

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Mathematics - Differential Geometry, Differential Geometry (math.DG), 58C99, 26B20, 43A80, FOS: Mathematics

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influence
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