A note on canonical Ricci forms on $2$-step nilmanifolds

DOI10.1090/S0002-9939-2012-11501-1zbMath1272.53020arXiv1202.6227WikidataQ126094442 ScholiaQ126094442MaRDI QIDQ4911568

Luigi Vezzoni

Publication date: 19 March 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.6227

zbMATH Keywords

almost Hermitian structure\(2\)-step nilpotent Lie algebraalmost Hermitian Lie algebras

Mathematics Subject Classification ID

General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Other connections (53B15)

Related Items (19)

Homogeneous solutions of pluriclosed flow on closed complex surfaces ⋮ On the Chern-Ricci flow and its solitons for Lie groups ⋮ Hermitian structures on a class of almost nilpotent solvmanifolds ⋮ Curvature flows for almost-hermitian Lie groups ⋮ Second Chern-Einstein metrics on four-dimensional almost-Hermitian manifolds ⋮ Hermitian curvature flow on unimodular Lie groups and static invariant metrics ⋮ On the pluriclosed flow on Oeljeklaus–Toma manifolds ⋮ A remark on the Bismut-Ricci form on 2-step nilmanifolds ⋮ Canonical almost-Kähler metrics dual to general plane-fronted wave Lorentzian metrics ⋮ An almost complex Chern-Ricci flow ⋮ On the Chern-Yamabe flow ⋮ Hermitian metrics of constant Chern scalar curvature on ruled surfaces ⋮ The continuity equation of almost Hermitian metrics ⋮ Stability under deformations of Hermite-Einstein almost Kähler metrics ⋮ A parabolic flow of balanced metrics ⋮ Generalized Kähler almost abelian Lie groups ⋮ Special Hermitian metrics on compact solvmanifolds ⋮ The pluriclosed flow on nilmanifolds and tamed symplectic forms ⋮ Soliton almost Kähler structures on 6-dimensional nilmanifolds for the symplectic curvature flow

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