Three-dimensional Lorentzian homogeneous Ricci solitons
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🧮 math.DG
math-phmath.MP
keywords
riccihomogeneouslorentziansolitonsthree-dimensionaldescribeeigenvalueexamples
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We describe three-dimensional Lorentzian homogeneous Ricci solitons, showing that all types (i.e. shrinking, expanding and steady) exist. Moreover, all non-trivial examples have non-diagonalizable Ricci operator with one only eigenvalue.
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