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Bibliographic Details
Main Authors:	Foka, Marius Landry, Nimpa, Romain Pefoukeu, Mbatakou, Salomon Joseph, Djiadeu, Michel Bertrand Ngaha, Bouetou, Thomas Bouetou
Format:	Preprint
Published:	2024
Subjects:	Differential Geometry 53C25, 53C30
Online Access:	https://arxiv.org/abs/2403.08402
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Table of Contents:

In this paper, using the Milnor-type theorem technique, we provide on each nilpotent five dimensional Lie group, some global existence result of a pair (g, c) consisting of a left-invariant Riemannian metric g and a positive constant c such that Ric(g) =cT, where Ric(g) is the Ricci curvature of g and T a given left-invariant symmetric (0, 2)-tensor field.