On the classification of five-dimensional nilsolitons
Differential Geometry
2026-04-30 v3
Abstract
In 2002, using a variational method, Lauret classified five-dimensional nilsolitons. In this work, using the algebraic Ricci soliton equation, we obtain the same classification. We show that, among ten classes of five-dimensional nilmanifolds, seven classes admit Ricci soliton structure. In any case, the derivation which satisfies the algebraic Ricci soliton equation is computed.
Keywords
Cite
@article{arxiv.1912.13322,
title = {On the classification of five-dimensional nilsolitons},
author = {Hamid Reza Salimi Moghaddam},
journal= {arXiv preprint arXiv:1912.13322},
year = {2026}
}