A para-Kähler structure on a manifold M is a pair (g,K) where g is a pseudo-Riemannian metric and K is a parallel field of skewsymmetric endomorphisms with K^2 = Id. We give a description of all invariant para-Kähler structures (g,K) on homogeneous manifolds M = G/H of semisimple Lie groups G.
Para-Kaehler Einstein metrics on homogeneous manifolds / D. V., Alekseevsky; Medori, Costantino; Tomassini, Adriano. - In: COMPTES RENDUS MATHÉMATIQUE. - ISSN 1631-073X. - 347:(2009), pp. 69-72. [10.1016/j.crma.2008.11.016]
Para-Kaehler Einstein metrics on homogeneous manifolds
MEDORI, Costantino;TOMASSINI, Adriano
2009-01-01
Abstract
A para-Kähler structure on a manifold M is a pair (g,K) where g is a pseudo-Riemannian metric and K is a parallel field of skewsymmetric endomorphisms with K^2 = Id. We give a description of all invariant para-Kähler structures (g,K) on homogeneous manifolds M = G/H of semisimple Lie groups G.File in questo prodotto:
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