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

  • Giovanni Calvaruso EMAIL logo and Antonella Perrone
Published/Copyright: July 22, 2017
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Advances in Geometry
From the journal Advances in Geometry Volume 17 Issue 3

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.

Keywords: Almost paracontact metric structures; normal structures; almost para-cosymplectic structures
MSC 2010: 53C15; 53C25; 53B05; 53D15

G. Gentili

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Received: 2014-3-10
Revised: 2015-11-30
Published Online: 2017-7-22
Published in Print: 2017-7-26

© 2017 by Walter de Gruyter Berlin/Boston

Articles in the same Issue

  1. Frontmatter
  3. Classification of 3-dimensional left-invariant almost paracontact metric structures
  5. On the topology of the spaces of curvature constrained plane curves
  7. On deformations of parallel G2 structures and almost contact metric structures
  9. A flag representation of projection functions
  11. A fundamental theorem for submanifolds of multiproducts of real space forms
  13. Intriguing sets of quadrics in PG(5, q)
  15. Successive radii and ball operators in generalized Minkowski spaces
  17. Optimal inequalities for the normalized δ-Casorati curvatures of submanifolds in Kenmotsu space forms
  19. The Archimedean projection property
  21. Kernels of numerical pushforwards
  23. Modified classical flat Minkowski planes
https://doi.org/10.1515/advgeom-2017-0025
Keywords for this article
Almost paracontact metric structures; normal structures; almost para-cosymplectic structures

Articles in the same Issue

  1. Frontmatter
  3. Classification of 3-dimensional left-invariant almost paracontact metric structures
  5. On the topology of the spaces of curvature constrained plane curves
  7. On deformations of parallel G2 structures and almost contact metric structures
  9. A flag representation of projection functions
  11. A fundamental theorem for submanifolds of multiproducts of real space forms
  13. Intriguing sets of quadrics in PG(5, q)
  15. Successive radii and ball operators in generalized Minkowski spaces
  17. Optimal inequalities for the normalized δ-Casorati curvatures of submanifolds in Kenmotsu space forms
  19. The Archimedean projection property
  21. Kernels of numerical pushforwards
  23. Modified classical flat Minkowski planes
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