On the stability of invariant almost complex structures on flag manifolds

DOI10.1016/J.GEOMPHYS.2021.104264zbMath1468.53027OpenAlexW3157152486MaRDI QIDQ2032810

Francisco V. Oliveira

Publication date: 14 June 2021

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2021.104264

zbMATH Keywords

almost complex structureharmonic mapsflag manifolds

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Cites Work

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• The sixteen classes of almost Hermitian manifolds and their linear invariants
• Invariant almost Hermitian structures on flag manifolds.
• Harmonic sections of homogeneous fibre bundles.
• Families of \((1,2)\)-symplectic metrics on full flag manifolds
• Einstein manifolds
• Some examples of almost Hermitian manifolds
• Nearly Kähler manifolds
• Instability of the nearly-Kähler six-sphere.

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