Quasi-Kähler manifolds with trivial Chern holonomy

DOI10.1007/s00209-011-0853-3zbMath1264.53037arXiv0807.1664OpenAlexW2116598629MaRDI QIDQ431247

Luigi Vezzoni, Antonio Jose Di Scala

Publication date: 26 June 2012

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0807.1664

zbMATH Keywords

nilmanifoldalmost Hermitian manifoldChern-flat metricquasi-Kähler manifoldtaming

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Issues of holonomy in differential geometry (53C29) Local Riemannian geometry (53B20)

Related Items

On Kähler-like and \(G\)-Kähler-like almost Hermitian manifolds ⋮ On the Chern-Yamabe flow ⋮ Hermitian metrics of constant Chern scalar curvature on ruled surfaces ⋮ Note on solutions of the Strominger system from unitary representations of cocompact lattices of \(\mathrm{SL}(2,\mathbb C)\) ⋮ A note on canonical Ricci forms on $2$-step nilmanifolds ⋮ Chern-flat and Ricci-flat invariant almost Hermitian structures ⋮ On the Kähler-likeness on almost Hermitian manifolds ⋮ On the conformally balanced condition on almost Hermitian manifolds and the quasi-Kählerity

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