The classification of left-invariant para-Kähler structures on simply connected four-dimensional Lie groups

Abstract: 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.

Location
Deutsche Nationalbibliothek Frankfurt am Main
Extent
Online-Ressource
Language
Englisch

Bibliographic citation
The classification of left-invariant para-Kähler structures on simply connected four-dimensional Lie groups ; volume:9 ; number:1 ; year:2022 ; pages:1-17 ; extent:17
Complex manifolds ; 9, Heft 1 (2022), 1-17 (gesamt 17)

Creator
Mansouri, M. W.
Oufkou, A.

DOI
10.1515/coma-2021-0127
URN
urn:nbn:de:101:1-2022071814453450170061
Rights
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Last update
15.08.2025, 7:33 AM CEST

Data provider

This object is provided by:
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.

Associated

  • Mansouri, M. W.
  • Oufkou, A.

Other Objects (12)