GEOMETRY OF FLAG MANIFOLDS

DOI10.1142/S0219887806001399zbMath1109.53053MaRDI QIDQ3426881

Andreas Arvanitoyeorgos

Publication date: 13 March 2007

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

zbMATH Keywords

flag manifoldhomogeneous Riemannian manifoldloop groupEinstein manifold

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Loop groups and related constructions, group-theoretic treatment (22E67) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25)

Related Items (14)

The Ricci flow of left-invariant metrics on full flag manifold \(SU(3)/T\) from a dynamical systems point of view ⋮ Nearly holomorphic sections on compact Hermitian symmetric spaces ⋮ Invariant Einstein metrics on flag manifolds with four isotropy summands ⋮ Bochner coordinates on flag manifolds ⋮ A note on the complete Kähler-Einstein metrics of disk bundles over compact homogeneous Kähler manifolds ⋮ Diameter and Laplace eigenvalue estimates for compact homogeneous Riemannian manifolds ⋮ Hilbert series of nearly holomorphic sections on generalized flag manifolds ⋮ A brief survey on the Ricci flow in homogeneous manifolds ⋮ The log-term of the Bergman kernel of the disc bundle over a homogeneous Hodge manifold ⋮ Invariant almost complex geometry on flag manifolds: geometric formality and Chern numbers ⋮ Cohomogeneity one Kähler and Kähler-Einstein manifolds with one singular orbit. I ⋮ Invariant \({\mathcal{G}}_1\) structures on flag manifolds ⋮ Cohomogeneity one Kähler and Kähler-Einstein manifolds with one singular orbit. II ⋮ Scalar curvatures of invariant almost Hermitian structures on generalized flag manifolds

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• Sur La Forme Hermitienne Canonique Des Espaces Homogenes Complexes
• Characteristic Classes and Homogeneous Spaces, I
• Closed Manifolds with Homogeneous Complex Structure
• Kählerian Coset Spaces of Semisimple Lie Groups

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