Geodesic
Ricci curvatures of left invariant Riemannian metrics on five dimensional nilpotent Lie groups
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 6 (2009), pp. 326-339

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In this paper, we classify all possible signatures of the Ricci operator of left invariant Riemannian metrics on five dimensional nilpotent Lie groups.
Keywords: Riemannian manifold, homogeneous space, Ricci curvature.
Mots-clés : Lie group 
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     author = {A. G. Kremlyov},
     title = {Ricci curvatures of left invariant {Riemannian} metrics on five dimensional nilpotent {Lie} groups},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {326--339},
     publisher = {mathdoc},
     volume = {6},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2009_6_a16/}
}
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A. G. Kremlyov. Ricci curvatures of left invariant Riemannian metrics on five dimensional nilpotent Lie groups. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 6 (2009), pp. 326-339. http://geodesic.mathdoc.fr/item/SEMR_2009_6_a16/