Dynamical stability of Pluriclosed and generalized Ricci solitons
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.
Fields of Study & Subjects
Geometry and complex manifolds
Geometric Analysis and Curvature Flows
Advanced Mathematical Physics Problems
Publication details
- Journal / source
- Communications in Contemporary Mathematics
- Publication date
- 15 May 2026
- Language
- EN