3 papers
math.DG2026
Generalized scalar curvature and Ricci flow on compact Lie groups
Zhiqi Chen, Jianhua Yu, Huibin Chen +1
Let be a compact connected semisimple Lie group, let be a bi-invariant metric and let be its Cartan three-form. We prove that every left-invariant generalized Ricci flo…
math.DG2026
Harmonicity and Existence of Algebraic Generalized Ricci Solitons
Huibin 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…
math.DG2026
Harmonic torsion of generalized nilsolitons on nilpotent Lie groups
Huibin Chen, Zhiqi Chen, Fuhai Zhu
We prove that the torsion three-form in the preferred splitting of a left-invariant generalized nilsoliton on a nilpotent Lie group is harmonic. This gives a positive answer to Que…