https://neckpinch.com/authors/fuhai-zhu/New arXiv papers by Fuhai Zhu, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2610.08859/arxiv:2610.08859Mon, 05 Oct 2026 00:00:00 GMTHuibin Chen, Zhiqi Chen, Fuhai Zhu — We prove harmonicity for nonshrinking algebraic generalized Ricci solitons and for all algebraic generalized Ricci solitons on solvable Lie algebras. In the solvable setting, we characterize expanding solitons by normal extensions of generalized nilsolitons, and derive a sharp rank bound.Generalized & G₂ flowsRicci solitonsHomogeneous spaces https://neckpinch.com/papers/2609.16029/arxiv:2609.16029Thu, 10 Sep 2026 00:00:00 GMTHuibin Chen, Zhiqi Chen, Fuhai Zhu — In this paper, we study the harmonicity and existence of algebraic generalized Ricci solitons. Firstly, we characterize harmonic torsion of algebraic generalized Ricci solitons on arbitrary metric Lie algebras by an identity involving the Killing form. In particular, positive semidefiniteness of the Killing form implies harmonicity without a unimodularity assumption. Then, we construct generalized nilsolitons with nonzero torsion on indecomposable three-step nilpotent Lie algebras admitting no classical nilsoliton, in dimension seven and in dimensions 6m+d for m>d≥1. Furthermore, we provide a spectral obstruction for nilpotent Lie algebras with abelian derived algebra and an obstruction based on the action of derivations on the quotient by the center. Combining these obstructions with explicit constructions, we prove that the filiform Lie algebra mathfrak m₂(n), n≥5, admits a generalized nilsoliton if and only if 5≤ n≤8.Generalized & G₂ flowsRicci solitonsHomogeneous spacesEigenvalues & spectrum