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JOURNALS // Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports] // Archive
Sib. Èlektron. Mat. Izv., 2009 Volume 6, Pages 326–339 (Mi semr70)
This article is cited in 2 papers

Research papers

Ricci curvatures of left invariant Riemannian metrics on five dimensional nilpotent Lie groups

A. G. Kremlyov

Rubtsovsk Industrial Intitute, Branch of Altai State Technical University

Abstract: 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, Lie group, Ricci curvature.

UDC: 514.765

MSC: 53C30

Received November 7, 2008, published November 6, 2009



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