Dynamical stability of Pluriclosed and Generalized Ricci solitons
Differential Geometry
2025-04-18 v1
Abstract
In this work, we discuss the stability of the pluriclosed flow and generalized Ricci flow. We proved that if the second variation of generalized Einstein--Hilbert functional is nonpositive and the infinitesimal deformations are integrable, the flow is dynamically stable. Moreover, we prove that the pluriclosed steady solitons are dynamically stable when the first Chern class vanishes.
Keywords
Cite
@article{arxiv.2504.12525,
title = {Dynamical stability of Pluriclosed and Generalized Ricci solitons},
author = {Kuan-Hui Lee},
journal= {arXiv preprint arXiv:2504.12525},
year = {2025}
}