The classification of left-invariant para-K\"ahler structures on simply connected four-dimensional Lie groups
Symplectic Geometry
2021-04-20 v3 Differential Geometry
Abstract
We give a complete classification of left invariant para-K\"ahler structures on four-dimensional simply connected Lie groups up to an automorphism. As an application we discuss some curvatures properties of the canonical connection associated to these structures as flat, Ricci flat and existence of Ricci solitons.
Keywords
Cite
@article{arxiv.2102.12710,
title = {The classification of left-invariant para-K\"ahler structures on simply connected four-dimensional Lie groups},
author = {Wadia Mansouri and Ahmad Oufkou},
journal= {arXiv preprint arXiv:2102.12710},
year = {2021}
}