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arXiv · 1707.08809

A remark on the Bismut-Ricci form on 2-step nilmanifolds

Mattia Pujia·Luigi Vezzoni
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Abstract

In this note we observe that on a 2-step nilpotent Lie group equipped with a left-invariant SKT structure the (1,1)-part of the Bismut-Ricci form is seminegative definite. As application we give a simplified proof of the non-existence of invariant SKT static metrics on 2-step nilmanifolds and of the existence of a long time solution to the pluriclosed flow in 2-step nilmanifolds.

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Mattia Pujia, Luigi Vezzoni. 2017-07-27. A remark on the Bismut-Ricci form on 2-step nilmanifolds. https://doi.org/10.1016/j.crma.2018.01.002

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