New Invariant Einstein Metrics on Generalized Flag Manifolds

DOI10.2307/2154253zbMath0781.53037OpenAlexW4240788912MaRDI QIDQ4201494

Andreas Arvanitoyeorgos

Publication date: 25 August 1993

Full work available at URL: https://doi.org/10.2307/2154253

zbMATH Keywords

flag manifoldsEinstein metricscompact homogeneous manifoldsinvariant Einstein metrics

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25)

Related Items (32)

Invariant Einstein metrics on generalized flag manifolds of $Sp(n)$ and $SO(2n)$ ⋮ Flag manifold sigma models. Spin chains and integrable theories ⋮ The Ricci flow of left-invariant metrics on full flag manifold \(SU(3)/T\) from a dynamical systems point of view ⋮ Invariant Einstein metrics on flag manifolds with four isotropy summands ⋮ The Dirichlet problem for Einstein metrics on cohomogeneity one manifolds ⋮ Ricci flow on certain homogeneous spaces ⋮ Flag manifolds, symmetric \(\mathfrak t\)-triples and Einstein metrics ⋮ Collapsed ancient solutions of the Ricci flow on compact homogeneous spaces ⋮ Homogeneous Einstein metrics and butterflies ⋮ New homogeneous Einstein metrics on \(\mathrm{SO}(7)/T\) ⋮ Quantum flag manifold \(\sigma \)-models \textit{and} Hermitian Ricci flow ⋮ Integrable properties of \(\sigma\) -models with non-symmetric target spaces ⋮ Einstein metrics on group manifolds and cosets ⋮ Equigeodesics on generalized flag manifolds with four isotropy summands ⋮ On the evolution of invariant Riemannian metrics on one class of generalized Wallach spaces under the influence of the normalized Ricci flow ⋮ Haldane limits via Lagrangian embeddings ⋮ Einstein Riemannian metrics and Einstein-Randers metrics on a class of homogeneous manifolds ⋮ Invariant Einstein metrics on generalized Wallach spaces ⋮ Global behavior of the Ricci flow on generalized flag manifolds with two isotropy summands ⋮ Geometry of homogeneous Riemannian manifolds ⋮ Low-dimensional homogeneous Einstein manifolds ⋮ Invariant almost complex geometry on flag manifolds: geometric formality and Chern numbers ⋮ INVARIANT EINSTEIN METRICS ON GENERALIZED FLAG MANIFOLDS WITH TWO ISOTROPY SUMMANDS ⋮ Invariant almost complex structures on real flag manifolds ⋮ Variational results on flag manifolds: harmonic maps, geodesics and Einstein metrics ⋮ Invariant Hermitian structures and variational aspects of a family of holomorphic curves on flag manifolds ⋮ Homogeneous Einstein metrics on certain generalized flag manifolds with six isotropy summands ⋮ Sigma models as Gross-Neveu models ⋮ Classification of invariant Einstein metrics on certain compact homogeneous spaces ⋮ Homogeneous Einstein metrics on 𝐺₂/𝑇 ⋮ HOMOGENEOUS EINSTEIN METRICS ON GENERALIZED FLAG MANIFOLDS WITH FIVE ISOTROPY SUMMANDS ⋮ The dynamics of the Ricci flow on generalized Wallach spaces

Cites Work

• Homogeneous Kähler manifolds: Paving the way towards new supersymmetric sigma models
• Geometry of maps between generalized flag manifolds
• Compact homogeneous Riemannian manifolds with strictly positive curvature
• On normal homogeneous Einstein manifolds
• Closed Manifolds with Homogeneous Complex Structure
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: New Invariant Einstein Metrics on Generalized Flag Manifolds