Pluriclosed and Strominger K\"ahler-like metrics compatible with abelian complex structures
Differential Geometry
2021-02-04 v1 Complex Variables
Abstract
We show that the existence of a left-invariant pluriclosed Hermitian metric on a unimodular Lie group with a left-invariant abelian complex structure forces the group to be -step nilpotent. Moreover, we prove that the pluriclosed flow starting from a left-invariant Hermitian metric on a -step nilpotent Lie group preserves the Strominger K\"ahler-like condition.
Keywords
Cite
@article{arxiv.2102.01920,
title = {Pluriclosed and Strominger K\"ahler-like metrics compatible with abelian complex structures},
author = {Anna Fino and Nicoletta Tardini and Luigi Vezzoni},
journal= {arXiv preprint arXiv:2102.01920},
year = {2021}
}