13 citations · 73 across the 38 of their papers we have counts for
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math.DG2015★ 12 cited
Locally conformally Berwald manifolds and compact quotients of reducible manifolds by homotheties
Vladimir S. Matveev, Yuri Nikolayevsky
We study locally conformally Berwald metrics on closed manifolds which are not globally conformally Berwald. We prove that the characterization of such metrics is equivalent to cha…
math.DG2015
Curvature properties of metric nilpotent Lie algebras which are independent of metric
G. Cairns, A. Hinić Galić, Y. Nikolayevsky
This paper consists of two parts. First, motivated by classic results, we determine the subsets of a given nilpotent Lie algebra (respectively, of the Grassmannian o…
math.DG2015
Solvable extensions of negative Ricci curvature of filiform Lie groups
Y. Nikolayevsky
We give necessary and sufficient conditions of the existence of a left-invariant metric of strictly negative Ricci curvature on a solvable Lie group the nilradical of whose Lie alg…