https://neckpinch.com/authors/yoshinori-hashimoto/New arXiv papers by Yoshinori Hashimoto, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2311.12469/arxiv:2311.12469Tue, 21 Nov 2023 00:00:00 GMTYoshinori Hashimoto — We give an algebraic criterion for a nilpotent real Lie algebra and prove that it provides a necessary and sufficient condition for the associated nilpotent Lie group to admit left-invariant Ricci solitons, called nilsolitons. As an application of this result, we generalise Nikolayevsky's criterion for the existence of nilsolitons to nilpotent Lie algebras without nice bases. We further prove a modified version of the Taketomi–Tamaru conjecture for nilpotent Lie groups which gives an obstruction to the existence of nilsolitons.Ricci solitonsHomogeneous spaces