Complete description of invariant Einstein metrics on the generalized flag manifold \(SO(2n)/U(p) \times U(n - p)\)

DOI10.1007/s10455-010-9221-5zbMath1205.53049arXiv1006.5294OpenAlexW2058400215MaRDI QIDQ605055

Yusuke Sakane, Ioannis Chrysikos, Andreas Arvanitoyeorgos

Publication date: 23 November 2010

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

Full work available at URL: https://arxiv.org/abs/1006.5294

zbMATH Keywords

Einstein metricresultanthomogeneous manifoldgeneralized flag manifoldalgebraic systems of equations

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Differential geometry of homogeneous manifolds (53C30) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) General properties and structure of locally compact groups (22D05)

Related Items (7)

Proving isometry for homogeneous Einstein metrics on flag manifolds by symbolic computation ⋮ Flag manifolds, symmetric \(\mathfrak t\)-triples and Einstein metrics ⋮ Equigeodesics on generalized flag manifolds with four isotropy summands ⋮ Homogeneous Einstein metrics on certain generalized flag manifolds with six isotropy summands ⋮ Homogeneous Einstein metrics on the generalized flag manifold ⋮ Classification of invariant Einstein metrics on certain compact homogeneous spaces ⋮ HOMOGENEOUS EINSTEIN METRICS ON GENERALIZED FLAG MANIFOLDS WITH FIVE ISOTROPY SUMMANDS

Cites Work

• Classification of invariant complex structures on irreducible compact simply connected coset spaces
• Invariant Einstein metrics on flag manifolds with four isotropy summands
• Existence and non-existence of homogeneous Einstein metrics
• Invariant Kähler-Einstein metrics on compact homogeneous spaces
• Invariant Einstein metrics on certain homogeneous spaces
• ON THE NUMBER OF INVARIANT EINSTEIN METRICS ON A COMPACT HOMOGENEOUS SPACE, NEWTON POLYTOPES AND CONTRACTIONS OF LIE ALGEBRAS

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