ON THE NUMBER OF INVARIANT EINSTEIN METRICS ON A COMPACT HOMOGENEOUS SPACE, NEWTON POLYTOPES AND CONTRACTIONS OF LIE ALGEBRAS

DOI10.1142/S0219887806001491zbMath1123.53039MaRDI QIDQ3426887

Michail M. Graev

Publication date: 13 March 2007

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

zbMATH Keywords

Newton polytopeflag manifoldEinstein metricNewton numberhomogeneous Einstein manifoldInönü--Wigner contractionIW-contraction

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Structure theory for Lie algebras and superalgebras (17B05) Applications of global differential geometry to the sciences (53C80) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25)

Related Items (16)

Invariant Einstein metrics on generalized flag manifolds of $Sp(n)$ and $SO(2n)$ ⋮ Invariant Einstein metrics on flag manifolds with four isotropy summands ⋮ Complete description of invariant Einstein metrics on the generalized flag manifold \(SO(2n)/U(p) \times U(n - p)\) ⋮ Proving isometry for homogeneous Einstein metrics on flag manifolds by symbolic computation ⋮ \(T\)-root systems of exceptional flag manifolds ⋮ Flag manifolds, symmetric \(\mathfrak t\)-triples and Einstein metrics ⋮ Homogeneous Einstein metrics and butterflies ⋮ New homogeneous Einstein metrics on \(\mathrm{SO}(7)/T\) ⋮ On the compactness of the set of invariant Einstein metrics ⋮ Homogeneous Einstein metrics on non-Kähler C-spaces ⋮ The geometry of compact homogeneous spaces with two isotropy summands ⋮ Homogeneous Einstein metrics on the generalized flag manifold ⋮ Classification of invariant Einstein metrics on certain compact homogeneous spaces ⋮ Spin structures on compact homogeneous pseudo-Riemannian manifolds ⋮ Einstein equations for invariant metrics on flag spaces and their Newton polytopes ⋮ Ancient solutions of the homogeneous Ricci flow on flag manifolds

Cites Work

• Polyedres de Newton et nombres de Milnor

This page was built for publication: ON THE NUMBER OF INVARIANT EINSTEIN METRICS ON A COMPACT HOMOGENEOUS SPACE, NEWTON POLYTOPES AND CONTRACTIONS OF LIE ALGEBRAS