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

DOI10.1016/j.crma.2018.01.002zbMath1385.53038arXiv1707.08809OpenAlexW2742004727MaRDI QIDQ1701513

Mattia Pujia, Luigi Vezzoni

Publication date: 26 February 2018

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.08809

zbMATH Keywords

Hermitian manifold2-step nilmanifoldBismut-Ricci form

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global differential geometry of Hermitian and Kählerian manifolds (53C55) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items

Hermitian curvature flow on complex locally homogeneous surfaces ⋮ Pluriclosed and Strominger Kähler–like metrics compatible with abelian complex structures ⋮ Hermitian curvature flow on unimodular Lie groups and static invariant metrics ⋮ On the pluriclosed flow on Oeljeklaus–Toma manifolds ⋮ The anomaly flow on nilmanifolds ⋮ The Hull-Strominger system and the anomaly flow on a class of solvmanifolds ⋮ Positive Hermitian curvature flow on complex 2-step nilpotent Lie groups

Cites Work

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• Regularity results for pluriclosed flow
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• Pluriclosed flow, Born-Infeld geometry, and rigidity results for generalized Kähler manifolds
• A note on canonical Ricci forms on $2$-step nilmanifolds
• A Parabolic Flow of Pluriclosed Metrics
• The long‐time behavior of the homogeneous pluriclosed flow