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arXiv · 2002.07210

Positive Hermitian curvature flow on complex 2-step nilpotent Lie groups

Mattia Pujia
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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.

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Mattia Pujia. 2020-02-17. Positive Hermitian curvature flow on complex 2-step nilpotent Lie groups. https://arxiv.org/abs/2002.07210

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