Positive Hermitian curvature flow on complex 2-step nilpotent Lie groups
Differential Geometry
2020-09-23 v2
Abstract
We study the positive Hermitian curvature flow of left-invariant metrics on complex 2-step nilpotent Lie groups. In this setting we completely characterize the long-time behaviour of the flow, showing that normalized solutions to the flow subconverge to a non-flat algebraic soliton, in Cheeger- Gromov topology. We also exhibit a uniqueness result for algebraic solitons on such Lie groups.
Keywords
Cite
@article{arxiv.2002.07210,
title = {Positive Hermitian curvature flow on complex 2-step nilpotent Lie groups},
author = {Mattia Pujia},
journal= {arXiv preprint arXiv:2002.07210},
year = {2020}
}
Comments
9 pages. Some minor changes. To appear on manuscripta math