Classification of 3-dimensional left-invariant almost paracontact metric structures-Reference-Cited by-同舟云学术

Classification of 3-dimensional left-invariant almost paracontact metric structures

Published:2017-07-01 Issue:3 Volume:17 Page:265-282
ISSN:1615-7168
Container-title:Advances in Geometry
language:en
Short-container-title:

Author:

Calvaruso Giovanni¹,Perrone Antonella¹

Affiliation:

1. Dipartimento di Matematica e Fisica “E. De Giorgi” , Università del Salento , Prov. Lecce-Arnesano, 73100 , Lecce , Italy

Abstract

Abstract We study left-invariant almost paracontact metric structures on arbitrary three-dimensional Lorentzian Lie groups. We obtain a complete classification and description under a natural assumption, which includes relevant classes as normal and almost para-cosymplectic structures, and we investigate geometric properties of these structures.

Publisher

Walter de Gruyter GmbH

Subject

Geometry and Topology

Link

https://www.degruyter.com/document/doi/10.1515/advgeom-2017-0025/pdf

Reference23 articles.

1. D. V. Alekseevsky, C. Medori, A. Tomassini, Maximally homogeneous para-CR manifolds. Ann. Global Anal. Geom. 30 (2006), 1-27. MR2249610 Zbl 1109.53030

2. G. Calvaruso, Einstein-like metrics on three-dimensional homogeneous Lorentzian manifolds. Geom. Dedicata127 (2007), 99-119. MR2338519 Zbl 1126.53044

3. G. Calvaruso, Homogeneous structures on three-dimensional Lorentzian manifolds. J. Geom. Phys. 57 (2007), 1279-1291. MR2287304 Zbl 1112.53051

4. G. Calvaruso, Homogeneous paracontact metric three-manifolds. Illinois J. Math. 55 (2011), 697-718 (2012). MR3020703 Zbl 1273.53020

5. G. Calvaruso, V. Martín-Molina, Paracontact metric structures on the unit tangent sphere bundle. Ann. Mat. Pura Appl. (4) 194 (2015), 1359-1380. MR3383943 Zbl 1328.53035

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