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20022020
most citedThe structure of the Ricci tensor on locally homogeneous Lorentzian gradient Ricci solitons

10 citations · 51 across the 21 of their papers we have counts for

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math.DG2010

Higher-dimensional Osserman metrics with non-nilpotent Jacobi operators

E. Calvino-Louzao, E. Garcia-Rio, P. Gilkey +1

We exhibit Osserman metrics with non-nilpotent Jacobi operators and with non-trivial Jordan normal form in neutral signature (n,n) for any n which is at least 3. These examples adm…

math.DG2010★ 1 cited

Geometric realizations of affine Kaehler curvature models

M. Brozos-Vazquez, P. Gilkey, S. Nikcevic

We show that every Kaehler affine curvature model can be realized geometrically.

math.DG2010★ 1 cited

Compact Osserman manifolds with neutral metric

M. Brozos-Vazquez, E. Garcia-Rio, P. Gilkey +1

It is shown that if a compact four-dimensional manifold with metric of neutral signature is Jordan-Osserman, then it is either of constant sectional curvature or Ricci flat.