Proving isometry for homogeneous Einstein metrics on flag manifolds by symbolic computation

DOI10.1016/J.JSC.2013.03.005zbMath1283.53044OpenAlexW2085282443MaRDI QIDQ390389

Yusuke Sakane, Andreas Arvanitoyeorgos, Ioannis Chrysikos

Publication date: 8 January 2014

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jsc.2013.03.005

zbMATH Keywords

lexicographic orderGröbner basisEinstein metrichomogeneous manifoldalgebraic system of equationsgeneralized flag manifold

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25)

Related Items (1)

Invariant Einstein metrics on generalized flag manifolds of $Sp(n)$ and $SO(2n)$

Cites Work

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• Complete description of invariant Einstein metrics on the generalized flag manifold \(SO(2n)/U(p) \times U(n - p)\)
• Homogeneous Einstein metrics on the generalized flag manifold
• 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
• Notes on Lie algebras.
• Invariant Einstein metrics on certain homogeneous spaces
• Einstein manifolds
• ON THE NUMBER OF INVARIANT EINSTEIN METRICS ON A COMPACT HOMOGENEOUS SPACE, NEWTON POLYTOPES AND CONTRACTIONS OF LIE ALGEBRAS

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