Y.Nikolayevsky

most citedHarmonic homogeneous manifolds of nonpositive curvature

3 citations · 6 across the 3 of their papers we have counts for

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math.DG2004★ 3 cited

Harmonic homogeneous manifolds of nonpositive curvature

Y. Nikolayevsky

A Riemannian manifold is called harmonic if its volume density function expressed in polar coordinates centered at any point is radial. Flat and rank-one symmetric spaces are harmo…

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…