Homogeneous Riemannian manifolds with generic Ricci tensor
Włodzimierz Jelonek
Annales Polonici Mathematici, Tome 77 (2001), p. 271-287 / Harvested from The Polish Digital Mathematics Library
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We describe homogeneous manifolds with generic Ricci tensor. We also prove that if 𝔤 is a 4-dimensional unimodular Lie algebra such that dim[𝔤,𝔤] ≤ 2 then every left-invariant metric on the Lie group G with Lie algebra 𝔤 admits two mutually opposite compatible left-invariant almost Kähler structures.

Publié le : 2001-01-01
EUDML-ID : urn:eudml:doc:280472 
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     volume = {77},
     year = {2001},
     pages = {271-287},
     zbl = {1043.53042},
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Włodzimierz Jelonek. Homogeneous Riemannian manifolds with generic Ricci tensor. Annales Polonici Mathematici, Tome 77 (2001) pp. 271-287. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap77-3-6/