Chern-flat and Ricci-flat invariant almost Hermitian structures

DOI10.1007/s10455-010-9243-zzbMath1218.53032OpenAlexW2032582546WikidataQ125289532 ScholiaQ125289532MaRDI QIDQ540461

Luigi Vezzoni, Antonio Jose Di Scala

Publication date: 3 June 2011

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10455-010-9243-z

zbMATH Keywords

homogeneous spacesRicci tensorChern connectionalmost Hermitian structure

Mathematics Subject Classification ID

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

Related Items

Nearly para-Kähler geometry on Lie groups ⋮ On the Chern-Ricci flow and its solitons for Lie groups ⋮ On Kähler-like and \(G\)-Kähler-like almost Hermitian manifolds ⋮ Curvature flows for almost-hermitian Lie groups ⋮ Second Chern-Einstein metrics on four-dimensional almost-Hermitian manifolds ⋮ Canonical almost-Kähler metrics dual to general plane-fronted wave Lorentzian metrics ⋮ On the Chern-Yamabe flow ⋮ Hermitian metrics of constant Chern scalar curvature on ruled surfaces ⋮ Para-Kähler hom-Lie algebras ⋮ Product and complex structures on hom-Lie superalgebras ⋮ A note on canonical Ricci forms on $2$-step nilmanifolds ⋮ Abelian Hermitian geometry ⋮ On the conformally balanced condition on Kähler-like almost Hermitian manifolds and the semi-Kählerity

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Quasi-Kähler manifolds with trivial Chern holonomy
• Geometry of compact complex homogeneous spaces with vanishing first Chern class
• On Hermitian curvature flow on almost complex manifolds
• Canonical bundles of complex nilmanifolds, with applications to hypercomplex geometry
• Kähler flat manifolds
• On the nilpotent Lie algebras of dimension \(\leq 7)\)
• Parallel spinors and connections with skew-symmetric torsion in string theory.
• On certain locally homogeneous Clifford manifolds
• Toric moment mappings and Riemannian structures
• Characteristic classes of Hermitian manifolds
• The Calabi–Yau equation on the Kodaira–Thurston manifold
• Classification of abelian complex structures on 6-dimensional Lie algebras
• DEFORMATION OF 2-STEP NILMANIFOLDS WITH ABELIAN COMPLEX STRUCTURES
• Compact Parallelizable Four Dimensional Symplectic and Complex Manifolds
• Shorter Notes: Some Simple Examples of Symplectic Manifolds
• STABILITY OF ABELIAN COMPLEX STRUCTURES
• Complex structures on nilpotent Lie algebras