On the geometrical properties of hypercomplex four-dimensional Lie groups
type: Item
instance of: scholarly article
title: On the geometrical properties of hypercomplex four-dimensional Lie groups
zbMATH Open document ID: 1482.53069
author: Mehri Nasehi
author: Mansour Aghasi
published in: Georgian Mathematical Journal
publication date: 2020-04-07T00:00:00Z
review text: On hypercomplex four-dimensional Lie groups, the authors, using the results of the references [\textit{M. L. Barberis}, Proc. Am. Math. Soc. 125, No. 4, 1043--1054 (1997; Zbl 0882.53047); \textit{H. R. Salimi Moghaddam}, Int. J. Geom. Methods Mod. Phys. 6, No. 4, 619--624 (2009; Zbl 1178.53043)], classify Einstein-like metrics, give harmonic maps, calculate the energy for left-invariant vector fields and obtain the critical points of their energy functional. Also, they give a description of totally geodesic hypersurfaces.
reviewed by: Hamid Reza Salimi Moghaddam
Mathematics Subject Classification ID: 53C30
Mathematics Subject Classification ID: 53C15
zbMATH DE Number: 7188078
zbMATH Keywords: harmonicity of invariant vector fields
zbMATH Keywords: conformal flatness
zbMATH Keywords: Ricci solitons
zbMATH Keywords: totally geodesic hypersurfaces
zbMATH Keywords: Yamabe solitons
Wikidata QID: Q115236352
MaRDI profile type: Publication
full work available at URL: gmj-2018-0003
OpenAlex ID: W2792728212
cites work: Q3193176
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DOI: 10.1515/GMJ-2018-0003
description: scientific article; zbMATH DE number 7188078