Wadia Mansouri — Neckpinchhttps://neckpinch.com/authors/wadia-mansouri/New arXiv papers by Wadia Mansouri, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT The classification of left-invariant para-Kähler structures on simply connected four-dimensional Lie groupshttps://neckpinch.com/papers/2102.12710/arxiv:2102.12710Thu, 25 Feb 2021 00:00:00 GMTWadia Mansouri, Ahmad Oufkou — We give a complete classification of left invariant para-Kähler 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.Ricci solitonsRicci-flat & Calabi–Yau4-manifoldsKähler geometryHomogeneous spaces