Left-invariant almost α-coKähler structures on 3D semidirect product Lie groups-Reference-Cited by-同舟云学术

Left-invariant almost α-coKähler structures on 3D semidirect product Lie groups

Published:2019-01 Issue:01 Volume:16 Page:1950011
ISSN:0219-8878
Container-title:International Journal of Geometric Methods in Modern Physics
language:en
Short-container-title:Int. J. Geom. Methods Mod. Phys.

Author:

Perrone Domenico¹

Affiliation:

1. Dipartimento di Matematica e Fisica “E. De Giorgi”, Via Provinciale Lecce-Arnesano, 73100 Lecce, Italy

Abstract

The main result of this paper gives a characterization of left-invariant almost [Formula: see text]-coKähler structures on three-dimensional (3D) semidirect product Lie groups [Formula: see text] in terms of the matrix [Formula: see text]. Then, we study the harmonicity of the Reeb vector field [Formula: see text] of a simply connected homogeneous almost [Formula: see text]-coKähler three-manifold, in terms of the Gaussian curvature of the canonical foliation.

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219887819500117

Reference20 articles.

1. Natural almost contact structures and their 3D homogeneous models

2. Cosymplectic and α-cosymplectic Lie algebras

3. On the geometry of almost contact metric manifolds of Kenmotsu type

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