Y.Nikolayevsky

activity

20032006

most citedNilradicals of Einstein solvmanifolds

9 citations · 15 across the 5 of their papers we have counts for

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Showing 2003Show all

2 papers · 1 filter

math.DG2003★ 2 cited

Riemannian manifolds of dimension 7 whose skew-symmetric curvature operator has constant eigenvalues

Y. Nikolayevsky

A Riemannian manifold is called IP, if the eigenvalues of its skew-symmetric curvature operator are pointwise constant. It was previously shown that for all n\ge 4, except n=7, any…

math.DG2003★ 1 cited

Osserman manifolds of dimension 8

Y. Nikolayevsky

For a Riemannian manifold $M^{n}$ with the curvature tensor $R$ , the Jacobi operator $R_{X}$ is defined by $R_{X} Y = R (X, Y) X$ . The manifold $M^{n}$ is called {\it pointwise Osserman} if, f…