On the shrinking solitons of generalized Ricci flow
Differential Geometry
2024-04-10 v1
Abstract
We show that every gradient shrinking soliton of the generalized Ricci flow on compact manifold is a Ricci soliton. And we prove that the pluriclosed soliton is gradient Kahler-Ricci soliton under a broad cohomological condition. Moreover, we construct the first example of non-trivial shrinking generalized soliton, which can serve as a singularity model of the generalized Ricci flow.
Keywords
Cite
@article{arxiv.2404.06141,
title = {On the shrinking solitons of generalized Ricci flow},
author = {Xilun Li and Yanan Ye},
journal= {arXiv preprint arXiv:2404.06141},
year = {2024}
}