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Natural almost contact structures and their 3D homogeneous models

2016; Wiley; Volume: 289; Issue: 11-12 Linguagem: Inglês

10.1002/mana.201400315

1522-2616

Giovanni Calvaruso, Antonella Perrone,

Advanced Differential Geometry Research

Mathematische NachrichtenVolume 289, Issue 11-12 p. 1370-1385 Original Paper Natural almost contact structures and their 3D homogeneous models Giovanni Calvaruso, Corresponding Author Giovanni Calvaruso Dipartimento di Matematica e Fisica “Ennio De Giorgi”, Università del Salento, Provinciale Lecce-Arnesano, 73100 Lecce, ItalyCorresponding author: e-mail: giovanni.calvaruso@unisalento.itSearch for more papers by this authorAntonella Perrone, Antonella Perrone perroneantonella@outlook.it Dipartimento di Matematica e Fisica “Ennio De Giorgi”, Università del Salento, Provinciale Lecce-Arnesano, 73100 Lecce, ItalySearch for more papers by this author Giovanni Calvaruso, Corresponding Author Giovanni Calvaruso Dipartimento di Matematica e Fisica “Ennio De Giorgi”, Università del Salento, Provinciale Lecce-Arnesano, 73100 Lecce, ItalyCorresponding author: e-mail: giovanni.calvaruso@unisalento.itSearch for more papers by this authorAntonella Perrone, Antonella Perrone perroneantonella@outlook.it Dipartimento di Matematica e Fisica “Ennio De Giorgi”, Università del Salento, Provinciale Lecce-Arnesano, 73100 Lecce, ItalySearch for more papers by this author First published: 22 February 2016 https://doi.org/10.1002/mana.201400315Citations: 5Read the full textAboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onFacebookTwitterLinkedInRedditWechat Abstract We consider a natural condition determining a large class of almost contact metric structures. We study their geometry, emphasizing that this class shares several properties with contact metric manifolds. We then give a complete classification of left-invariant examples on three-dimensional Lie groups, and show that any simply connected homogeneous Riemannian three-manifold admits a natural almost contact structure having g as a compatible metric. Moreover, we investigate left-invariant CR structures corresponding to natural almost contact metric structures. Citing Literature Volume289, Issue11-12August 2016Pages 1370-1385 RelatedInformation