The classification of homogeneous Einstein metrics on flag manifolds with \(b_2(M) = 1\)

DOI10.1016/j.bulsci.2013.11.002zbMath1323.53044arXiv1206.1306OpenAlexW1975331840WikidataQ126182708 ScholiaQ126182708MaRDI QIDQ401433

Ioannis Chrysikos, Yusuke Sakane

Publication date: 26 August 2014

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.1306

zbMATH Keywords

generalized flag manifoldfiniteness conjecturehomogeneous Einstein metric

Mathematics Subject Classification ID

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

Related Items (7)

Biharmonic Hermitian vector bundles over compact Kähler manifolds and compact Einstein Riemannian manifolds ⋮ Non-naturally reductive Einstein metrics on exceptional Lie groups ⋮ Flag manifolds, symmetric \(\mathfrak t\)-triples and Einstein metrics ⋮ On the compactness of the set of invariant Einstein metrics ⋮ Homogeneous Einstein metrics on non-Kähler C-spaces ⋮ Spin structures on compact homogeneous pseudo-Riemannian manifolds ⋮ Ancient solutions of the homogeneous Ricci flow on flag manifolds

Uses Software

• HOM4PS

Cites Work

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• Riemannian flag manifolds with homogeneous geodesics
• On normal homogeneous Einstein manifolds
• HOMOGENEOUS EINSTEIN METRICS ON GENERALIZED FLAG MANIFOLDS Sp(n)/(U(p) × U(q) × Sp(n-p-q))

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